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Finding the Third Proportional to 24,180.75 and 36,281.25

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Solution

The third proportional to 24,180.75 and 36,281.25 is: 54,437.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,180.75 : 36,281.25 = 36,281.25 : x
  2. Step 2: Convert to fraction form
    24,180.75/36,281.25 = 36,281.25/x
  3. Step 3: Cross multiply
    24,180.75x = 36,281.25 × 36,281.25
  4. Step 4: Simplify right side
    24,180.75x = 1,316,329,101.56
  5. Step 5: Solve for x
    x = 1,316,329,101.56/24,180.75
  6. Step 6: Final answer
    x = 54,437.07

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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.