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Finding the Third Proportional to 24,546.80 and 37,533.53

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Solution

The third proportional to 24,546.80 and 37,533.53 is: 57,391.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,546.80 : 37,533.53 = 37,533.53 : x
  2. Step 2: Convert to fraction form
    24,546.80/37,533.53 = 37,533.53/x
  3. Step 3: Cross multiply
    24,546.80x = 37,533.53 × 37,533.53
  4. Step 4: Simplify right side
    24,546.80x = 1,408,766,114.71
  5. Step 5: Solve for x
    x = 1,408,766,114.71/24,546.80
  6. Step 6: Final answer
    x = 57,391.04

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.