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Finding the Third Proportional to 40,947 and 60,077.50

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Solution

The third proportional to 40,947 and 60,077.50 is: 88,145.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,947 : 60,077.50 = 60,077.50 : x
  2. Step 2: Convert to fraction form
    40,947/60,077.50 = 60,077.50/x
  3. Step 3: Cross multiply
    40,947x = 60,077.50 × 60,077.50
  4. Step 4: Simplify right side
    40,947x = 3,609,306,006.25
  5. Step 5: Solve for x
    x = 3,609,306,006.25/40,947
  6. Step 6: Final answer
    x = 88,145.80

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.