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Finding the Third Proportional to 15,886.13 and 24,006.38

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Solution

The third proportional to 15,886.13 and 24,006.38 is: 36,277.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,886.13 : 24,006.38 = 24,006.38 : x
  2. Step 2: Convert to fraction form
    15,886.13/24,006.38 = 24,006.38/x
  3. Step 3: Cross multiply
    15,886.13x = 24,006.38 × 24,006.38
  4. Step 4: Simplify right side
    15,886.13x = 576,306,040.64
  5. Step 5: Solve for x
    x = 576,306,040.64/15,886.13
  6. Step 6: Final answer
    x = 36,277.32

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.