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Finding the Third Proportional to 38,363 and 61,069

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Solution

The third proportional to 38,363 and 61,069 is: 97,214.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,363 : 61,069 = 61,069 : x
  2. Step 2: Convert to fraction form
    38,363/61,069 = 61,069/x
  3. Step 3: Cross multiply
    38,363x = 61,069 × 61,069
  4. Step 4: Simplify right side
    38,363x = 3,729,422,761
  5. Step 5: Solve for x
    x = 3,729,422,761/38,363
  6. Step 6: Final answer
    x = 97,214.05

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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.