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Finding the Third Proportional to 15,909 and 35,943.50

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Solution

The third proportional to 15,909 and 35,943.50 is: 81,207.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,909 : 35,943.50 = 35,943.50 : x
  2. Step 2: Convert to fraction form
    15,909/35,943.50 = 35,943.50/x
  3. Step 3: Cross multiply
    15,909x = 35,943.50 × 35,943.50
  4. Step 4: Simplify right side
    15,909x = 1,291,935,192.25
  5. Step 5: Solve for x
    x = 1,291,935,192.25/15,909
  6. Step 6: Final answer
    x = 81,207.82

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These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.