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Finding the Third Proportional to 24,675.12 and 36,847.90

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Solution

The third proportional to 24,675.12 and 36,847.90 is: 55,025.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,675.12 : 36,847.90 = 36,847.90 : x
  2. Step 2: Convert to fraction form
    24,675.12/36,847.90 = 36,847.90/x
  3. Step 3: Cross multiply
    24,675.12x = 36,847.90 × 36,847.90
  4. Step 4: Simplify right side
    24,675.12x = 1,357,767,619.26
  5. Step 5: Solve for x
    x = 1,357,767,619.26/24,675.12
  6. Step 6: Final answer
    x = 55,025.78

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.