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Finding the Third Proportional to 48,656 and 65,304

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Solution

The third proportional to 48,656 and 65,304 is: 87,648.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,656 : 65,304 = 65,304 : x
  2. Step 2: Convert to fraction form
    48,656/65,304 = 65,304/x
  3. Step 3: Cross multiply
    48,656x = 65,304 × 65,304
  4. Step 4: Simplify right side
    48,656x = 4,264,612,416
  5. Step 5: Solve for x
    x = 4,264,612,416/48,656
  6. Step 6: Final answer
    x = 87,648.23

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.