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Finding the Third Proportional to 42,423.75 and 63,645.75

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Solution

The third proportional to 42,423.75 and 63,645.75 is: 95,483.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,423.75 : 63,645.75 = 63,645.75 : x
  2. Step 2: Convert to fraction form
    42,423.75/63,645.75 = 63,645.75/x
  3. Step 3: Cross multiply
    42,423.75x = 63,645.75 × 63,645.75
  4. Step 4: Simplify right side
    42,423.75x = 4,050,781,493.06
  5. Step 5: Solve for x
    x = 4,050,781,493.06/42,423.75
  6. Step 6: Final answer
    x = 95,483.81

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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.