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Finding the Third Proportional to 15,915.50 and 34,684

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Solution

The third proportional to 15,915.50 and 34,684 is: 75,585.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,915.50 : 34,684 = 34,684 : x
  2. Step 2: Convert to fraction form
    15,915.50/34,684 = 34,684/x
  3. Step 3: Cross multiply
    15,915.50x = 34,684 × 34,684
  4. Step 4: Simplify right side
    15,915.50x = 1,202,979,856
  5. Step 5: Solve for x
    x = 1,202,979,856/15,915.50
  6. Step 6: Final answer
    x = 75,585.43

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.