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Finding the Third Proportional to 15,746.38 and 34,564.38

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Solution

The third proportional to 15,746.38 and 34,564.38 is: 75,871.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,746.38 : 34,564.38 = 34,564.38 : x
  2. Step 2: Convert to fraction form
    15,746.38/34,564.38 = 34,564.38/x
  3. Step 3: Cross multiply
    15,746.38x = 34,564.38 × 34,564.38
  4. Step 4: Simplify right side
    15,746.38x = 1,194,696,019.14
  5. Step 5: Solve for x
    x = 1,194,696,019.14/15,746.38
  6. Step 6: Final answer
    x = 75,871.18

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