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Finding the Third Proportional to 15,929.50 and 34,336.50

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Solution

The third proportional to 15,929.50 and 34,336.50 is: 74,013.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,929.50 : 34,336.50 = 34,336.50 : x
  2. Step 2: Convert to fraction form
    15,929.50/34,336.50 = 34,336.50/x
  3. Step 3: Cross multiply
    15,929.50x = 34,336.50 × 34,336.50
  4. Step 4: Simplify right side
    15,929.50x = 1,178,995,232.25
  5. Step 5: Solve for x
    x = 1,178,995,232.25/15,929.50
  6. Step 6: Final answer
    x = 74,013.32

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