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Finding the Third Proportional to 41,930 and 63,435

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Solution

The third proportional to 41,930 and 63,435 is: 95,969.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,930 : 63,435 = 63,435 : x
  2. Step 2: Convert to fraction form
    41,930/63,435 = 63,435/x
  3. Step 3: Cross multiply
    41,930x = 63,435 × 63,435
  4. Step 4: Simplify right side
    41,930x = 4,023,999,225
  5. Step 5: Solve for x
    x = 4,023,999,225/41,930
  6. Step 6: Final answer
    x = 95,969.45

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.