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Finding the Third Proportional to 10,045.13 and 14,862.38

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Solution

The third proportional to 10,045.13 and 14,862.38 is: 21,989.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,045.13 : 14,862.38 = 14,862.38 : x
  2. Step 2: Convert to fraction form
    10,045.13/14,862.38 = 14,862.38/x
  3. Step 3: Cross multiply
    10,045.13x = 14,862.38 × 14,862.38
  4. Step 4: Simplify right side
    10,045.13x = 220,890,190.64
  5. Step 5: Solve for x
    x = 220,890,190.64/10,045.13
  6. Step 6: Final answer
    x = 21,989.79

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.