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Finding the Third Proportional to 39,001.50 and 82,651.50

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Solution

The third proportional to 39,001.50 and 82,651.50 is: 175,154.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,001.50 : 82,651.50 = 82,651.50 : x
  2. Step 2: Convert to fraction form
    39,001.50/82,651.50 = 82,651.50/x
  3. Step 3: Cross multiply
    39,001.50x = 82,651.50 × 82,651.50
  4. Step 4: Simplify right side
    39,001.50x = 6,831,270,452.25
  5. Step 5: Solve for x
    x = 6,831,270,452.25/39,001.50
  6. Step 6: Final answer
    x = 175,154.04

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.