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Finding the Third Proportional to 32,439 and 48,892.50

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Solution

The third proportional to 32,439 and 48,892.50 is: 73,691.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,439 : 48,892.50 = 48,892.50 : x
  2. Step 2: Convert to fraction form
    32,439/48,892.50 = 48,892.50/x
  3. Step 3: Cross multiply
    32,439x = 48,892.50 × 48,892.50
  4. Step 4: Simplify right side
    32,439x = 2,390,476,556.25
  5. Step 5: Solve for x
    x = 2,390,476,556.25/32,439
  6. Step 6: Final answer
    x = 73,691.44

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.