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Finding the Third Proportional to 32,261.50 and 67,479

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Solution

The third proportional to 32,261.50 and 67,479 is: 141,140.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,261.50 : 67,479 = 67,479 : x
  2. Step 2: Convert to fraction form
    32,261.50/67,479 = 67,479/x
  3. Step 3: Cross multiply
    32,261.50x = 67,479 × 67,479
  4. Step 4: Simplify right side
    32,261.50x = 4,553,415,441
  5. Step 5: Solve for x
    x = 4,553,415,441/32,261.50
  6. Step 6: Final answer
    x = 141,140.85

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.