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Finding the Third Proportional to 24,949.50 and 37,421.25

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Solution

The third proportional to 24,949.50 and 37,421.25 is: 56,127.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,949.50 : 37,421.25 = 37,421.25 : x
  2. Step 2: Convert to fraction form
    24,949.50/37,421.25 = 37,421.25/x
  3. Step 3: Cross multiply
    24,949.50x = 37,421.25 × 37,421.25
  4. Step 4: Simplify right side
    24,949.50x = 1,400,349,951.56
  5. Step 5: Solve for x
    x = 1,400,349,951.56/24,949.50
  6. Step 6: Final answer
    x = 56,127.38

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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.