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Finding the Third Proportional to 15,406.13 and 23,761.88

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Solution

The third proportional to 15,406.13 and 23,761.88 is: 36,649.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,406.13 : 23,761.88 = 23,761.88 : x
  2. Step 2: Convert to fraction form
    15,406.13/23,761.88 = 23,761.88/x
  3. Step 3: Cross multiply
    15,406.13x = 23,761.88 × 23,761.88
  4. Step 4: Simplify right side
    15,406.13x = 564,626,703.52
  5. Step 5: Solve for x
    x = 564,626,703.52/15,406.13
  6. Step 6: Final answer
    x = 36,649.50

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.