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Finding the Third Proportional to 48,375 and 73,952

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Solution

The third proportional to 48,375 and 73,952 is: 113,052.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,375 : 73,952 = 73,952 : x
  2. Step 2: Convert to fraction form
    48,375/73,952 = 73,952/x
  3. Step 3: Cross multiply
    48,375x = 73,952 × 73,952
  4. Step 4: Simplify right side
    48,375x = 5,468,898,304
  5. Step 5: Solve for x
    x = 5,468,898,304/48,375
  6. Step 6: Final answer
    x = 113,052.16

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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.