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Finding the Third Proportional to 38,675 and 61,539.50

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Solution

The third proportional to 38,675 and 61,539.50 is: 97,921.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,675 : 61,539.50 = 61,539.50 : x
  2. Step 2: Convert to fraction form
    38,675/61,539.50 = 61,539.50/x
  3. Step 3: Cross multiply
    38,675x = 61,539.50 × 61,539.50
  4. Step 4: Simplify right side
    38,675x = 3,787,110,060.25
  5. Step 5: Solve for x
    x = 3,787,110,060.25/38,675
  6. Step 6: Final answer
    x = 97,921.40

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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.