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Finding the Third Proportional to 40,029.50 and 61,988.50

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Solution

The third proportional to 40,029.50 and 61,988.50 is: 95,993.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,029.50 : 61,988.50 = 61,988.50 : x
  2. Step 2: Convert to fraction form
    40,029.50/61,988.50 = 61,988.50/x
  3. Step 3: Cross multiply
    40,029.50x = 61,988.50 × 61,988.50
  4. Step 4: Simplify right side
    40,029.50x = 3,842,574,132.25
  5. Step 5: Solve for x
    x = 3,842,574,132.25/40,029.50
  6. Step 6: Final answer
    x = 95,993.56

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.