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Finding the Third Proportional to 42,176.64 and 63,431.54

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Solution

The third proportional to 42,176.64 and 63,431.54 is: 95,397.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,176.64 : 63,431.54 = 63,431.54 : x
  2. Step 2: Convert to fraction form
    42,176.64/63,431.54 = 63,431.54/x
  3. Step 3: Cross multiply
    42,176.64x = 63,431.54 × 63,431.54
  4. Step 4: Simplify right side
    42,176.64x = 4,023,560,643.40
  5. Step 5: Solve for x
    x = 4,023,560,643.40/42,176.64
  6. Step 6: Final answer
    x = 95,397.85

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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.