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Finding the Third Proportional to 24,365.25 and 38,765.25

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Solution

The third proportional to 24,365.25 and 38,765.25 is: 61,675.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,365.25 : 38,765.25 = 38,765.25 : x
  2. Step 2: Convert to fraction form
    24,365.25/38,765.25 = 38,765.25/x
  3. Step 3: Cross multiply
    24,365.25x = 38,765.25 × 38,765.25
  4. Step 4: Simplify right side
    24,365.25x = 1,502,744,607.56
  5. Step 5: Solve for x
    x = 1,502,744,607.56/24,365.25
  6. Step 6: Final answer
    x = 61,675.73

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.