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Finding the Third Proportional to 38,768 and 61,492

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Solution

The third proportional to 38,768 and 61,492 is: 97,535.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,768 : 61,492 = 61,492 : x
  2. Step 2: Convert to fraction form
    38,768/61,492 = 61,492/x
  3. Step 3: Cross multiply
    38,768x = 61,492 × 61,492
  4. Step 4: Simplify right side
    38,768x = 3,781,266,064
  5. Step 5: Solve for x
    x = 3,781,266,064/38,768
  6. Step 6: Final answer
    x = 97,535.75

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.