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Finding the Third Proportional to 10,045.47 and 21,876.78

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Solution

The third proportional to 10,045.47 and 21,876.78 is: 47,642.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,045.47 : 21,876.78 = 21,876.78 : x
  2. Step 2: Convert to fraction form
    10,045.47/21,876.78 = 21,876.78/x
  3. Step 3: Cross multiply
    10,045.47x = 21,876.78 × 21,876.78
  4. Step 4: Simplify right side
    10,045.47x = 478,593,557.86
  5. Step 5: Solve for x
    x = 478,593,557.86/10,045.47
  6. Step 6: Final answer
    x = 47,642.73

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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.