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Finding the Third Proportional to 38,304 and 61,506

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Solution

The third proportional to 38,304 and 61,506 is: 98,762.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,304 : 61,506 = 61,506 : x
  2. Step 2: Convert to fraction form
    38,304/61,506 = 61,506/x
  3. Step 3: Cross multiply
    38,304x = 61,506 × 61,506
  4. Step 4: Simplify right side
    38,304x = 3,782,988,036
  5. Step 5: Solve for x
    x = 3,782,988,036/38,304
  6. Step 6: Final answer
    x = 98,762.22

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.