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Finding the Third Proportional to 24,212.25 and 37,645.88

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Solution

The third proportional to 24,212.25 and 37,645.88 is: 58,532.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,212.25 : 37,645.88 = 37,645.88 : x
  2. Step 2: Convert to fraction form
    24,212.25/37,645.88 = 37,645.88/x
  3. Step 3: Cross multiply
    24,212.25x = 37,645.88 × 37,645.88
  4. Step 4: Simplify right side
    24,212.25x = 1,417,211,904.52
  5. Step 5: Solve for x
    x = 1,417,211,904.52/24,212.25
  6. Step 6: Final answer
    x = 58,532.85

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