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Finding the Third Proportional to 24,475.61 and 36,709.14

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Solution

The third proportional to 24,475.61 and 36,709.14 is: 55,057.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,475.61 : 36,709.14 = 36,709.14 : x
  2. Step 2: Convert to fraction form
    24,475.61/36,709.14 = 36,709.14/x
  3. Step 3: Cross multiply
    24,475.61x = 36,709.14 × 36,709.14
  4. Step 4: Simplify right side
    24,475.61x = 1,347,560,718.64
  5. Step 5: Solve for x
    x = 1,347,560,718.64/24,475.61
  6. Step 6: Final answer
    x = 55,057.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.