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Finding the Third Proportional to 15,973.88 and 24,708.38

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Solution

The third proportional to 15,973.88 and 24,708.38 is: 38,218.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,973.88 : 24,708.38 = 24,708.38 : x
  2. Step 2: Convert to fraction form
    15,973.88/24,708.38 = 24,708.38/x
  3. Step 3: Cross multiply
    15,973.88x = 24,708.38 × 24,708.38
  4. Step 4: Simplify right side
    15,973.88x = 610,503,795.14
  5. Step 5: Solve for x
    x = 610,503,795.14/15,973.88
  6. Step 6: Final answer
    x = 38,218.89

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.