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Finding the Third Proportional to 48,569.63 and 104,792.48

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Solution

The third proportional to 48,569.63 and 104,792.48 is: 226,097.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,569.63 : 104,792.48 = 104,792.48 : x
  2. Step 2: Convert to fraction form
    48,569.63/104,792.48 = 104,792.48/x
  3. Step 3: Cross multiply
    48,569.63x = 104,792.48 × 104,792.48
  4. Step 4: Simplify right side
    48,569.63x = 10,981,464,781.48
  5. Step 5: Solve for x
    x = 10,981,464,781.48/48,569.63
  6. Step 6: Final answer
    x = 226,097.38

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.