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Finding the Third Proportional to 24,491.11 and 36,641.74

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Solution

The third proportional to 24,491.11 and 36,641.74 is: 54,820.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,491.11 : 36,641.74 = 36,641.74 : x
  2. Step 2: Convert to fraction form
    24,491.11/36,641.74 = 36,641.74/x
  3. Step 3: Cross multiply
    24,491.11x = 36,641.74 × 36,641.74
  4. Step 4: Simplify right side
    24,491.11x = 1,342,617,270.54
  5. Step 5: Solve for x
    x = 1,342,617,270.54/24,491.11
  6. Step 6: Final answer
    x = 54,820.60

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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.