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Finding the Third Proportional to 10,531.13 and 15,973.88

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Solution

The third proportional to 10,531.13 and 15,973.88 is: 24,229.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,531.13 : 15,973.88 = 15,973.88 : x
  2. Step 2: Convert to fraction form
    10,531.13/15,973.88 = 15,973.88/x
  3. Step 3: Cross multiply
    10,531.13x = 15,973.88 × 15,973.88
  4. Step 4: Simplify right side
    10,531.13x = 255,164,682.52
  5. Step 5: Solve for x
    x = 255,164,682.52/10,531.13
  6. Step 6: Final answer
    x = 24,229.57

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.