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Finding the Third Proportional to 39,511.50 and 59,691

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Solution

The third proportional to 39,511.50 and 59,691 is: 90,176.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,511.50 : 59,691 = 59,691 : x
  2. Step 2: Convert to fraction form
    39,511.50/59,691 = 59,691/x
  3. Step 3: Cross multiply
    39,511.50x = 59,691 × 59,691
  4. Step 4: Simplify right side
    39,511.50x = 3,563,015,481
  5. Step 5: Solve for x
    x = 3,563,015,481/39,511.50
  6. Step 6: Final answer
    x = 90,176.67

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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.