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Finding the Third Proportional to 3,569.06 and 7,849.41

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Solution

The third proportional to 3,569.06 and 7,849.41 is: 17,263.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,569.06 : 7,849.41 = 7,849.41 : x
  2. Step 2: Convert to fraction form
    3,569.06/7,849.41 = 7,849.41/x
  3. Step 3: Cross multiply
    3,569.06x = 7,849.41 × 7,849.41
  4. Step 4: Simplify right side
    3,569.06x = 61,613,178.48
  5. Step 5: Solve for x
    x = 61,613,178.48/3,569.06
  6. Step 6: Final answer
    x = 17,263.13

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.