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Finding the Third Proportional to 48,486 and 74,862

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Solution

The third proportional to 48,486 and 74,862 is: 115,586.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,486 : 74,862 = 74,862 : x
  2. Step 2: Convert to fraction form
    48,486/74,862 = 74,862/x
  3. Step 3: Cross multiply
    48,486x = 74,862 × 74,862
  4. Step 4: Simplify right side
    48,486x = 5,604,319,044
  5. Step 5: Solve for x
    x = 5,604,319,044/48,486
  6. Step 6: Final answer
    x = 115,586.34

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.