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Finding the Third Proportional to 48,036 and 71,862

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Solution

The third proportional to 48,036 and 71,862 is: 107,505.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,036 : 71,862 = 71,862 : x
  2. Step 2: Convert to fraction form
    48,036/71,862 = 71,862/x
  3. Step 3: Cross multiply
    48,036x = 71,862 × 71,862
  4. Step 4: Simplify right side
    48,036x = 5,164,147,044
  5. Step 5: Solve for x
    x = 5,164,147,044/48,036
  6. Step 6: Final answer
    x = 107,505.77

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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.