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Finding the Third Proportional to 10,029.38 and 15,591.94

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Solution

The third proportional to 10,029.38 and 15,591.94 is: 24,239.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,029.38 : 15,591.94 = 15,591.94 : x
  2. Step 2: Convert to fraction form
    10,029.38/15,591.94 = 15,591.94/x
  3. Step 3: Cross multiply
    10,029.38x = 15,591.94 × 15,591.94
  4. Step 4: Simplify right side
    10,029.38x = 243,108,515.00
  5. Step 5: Solve for x
    x = 243,108,515.00/10,029.38
  6. Step 6: Final answer
    x = 24,239.65

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.