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Finding the Third Proportional to 40,035 and 60,052.50

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Solution

The third proportional to 40,035 and 60,052.50 is: 90,078.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,035 : 60,052.50 = 60,052.50 : x
  2. Step 2: Convert to fraction form
    40,035/60,052.50 = 60,052.50/x
  3. Step 3: Cross multiply
    40,035x = 60,052.50 × 60,052.50
  4. Step 4: Simplify right side
    40,035x = 3,606,302,756.25
  5. Step 5: Solve for x
    x = 3,606,302,756.25/40,035
  6. Step 6: Final answer
    x = 90,078.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.