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Finding the Third Proportional to 32,259.50 and 67,475

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Solution

The third proportional to 32,259.50 and 67,475 is: 141,132.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,259.50 : 67,475 = 67,475 : x
  2. Step 2: Convert to fraction form
    32,259.50/67,475 = 67,475/x
  3. Step 3: Cross multiply
    32,259.50x = 67,475 × 67,475
  4. Step 4: Simplify right side
    32,259.50x = 4,552,875,625
  5. Step 5: Solve for x
    x = 4,552,875,625/32,259.50
  6. Step 6: Final answer
    x = 141,132.86

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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.