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Finding the Third Proportional to 12,527.63 and 29,569.13

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Solution

The third proportional to 12,527.63 and 29,569.13 is: 69,792.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,527.63 : 29,569.13 = 29,569.13 : x
  2. Step 2: Convert to fraction form
    12,527.63/29,569.13 = 29,569.13/x
  3. Step 3: Cross multiply
    12,527.63x = 29,569.13 × 29,569.13
  4. Step 4: Simplify right side
    12,527.63x = 874,333,153.27
  5. Step 5: Solve for x
    x = 874,333,153.27/12,527.63
  6. Step 6: Final answer
    x = 69,792.41

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.