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Finding the Third Proportional to 61,500.50 and 82,246.50

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Solution

The third proportional to 61,500.50 and 82,246.50 is: 109,990.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,500.50 : 82,246.50 = 82,246.50 : x
  2. Step 2: Convert to fraction form
    61,500.50/82,246.50 = 82,246.50/x
  3. Step 3: Cross multiply
    61,500.50x = 82,246.50 × 82,246.50
  4. Step 4: Simplify right side
    61,500.50x = 6,764,486,762.25
  5. Step 5: Solve for x
    x = 6,764,486,762.25/61,500.50
  6. Step 6: Final answer
    x = 109,990.76

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.