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Finding the Third Proportional to 10,089.56 and 15,913.97

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Solution

The third proportional to 10,089.56 and 15,913.97 is: 25,100.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,089.56 : 15,913.97 = 15,913.97 : x
  2. Step 2: Convert to fraction form
    10,089.56/15,913.97 = 15,913.97/x
  3. Step 3: Cross multiply
    10,089.56x = 15,913.97 × 15,913.97
  4. Step 4: Simplify right side
    10,089.56x = 253,254,401.38
  5. Step 5: Solve for x
    x = 253,254,401.38/10,089.56
  6. Step 6: Final answer
    x = 25,100.63

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.