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Finding the Third Proportional to 32,317.50 and 67,402.50

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Solution

The third proportional to 32,317.50 and 67,402.50 is: 140,576.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,317.50 : 67,402.50 = 67,402.50 : x
  2. Step 2: Convert to fraction form
    32,317.50/67,402.50 = 67,402.50/x
  3. Step 3: Cross multiply
    32,317.50x = 67,402.50 × 67,402.50
  4. Step 4: Simplify right side
    32,317.50x = 4,543,097,006.25
  5. Step 5: Solve for x
    x = 4,543,097,006.25/32,317.50
  6. Step 6: Final answer
    x = 140,576.99

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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.