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Finding the Third Proportional to 41,458 and 63,758

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Solution

The third proportional to 41,458 and 63,758 is: 98,053.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,458 : 63,758 = 63,758 : x
  2. Step 2: Convert to fraction form
    41,458/63,758 = 63,758/x
  3. Step 3: Cross multiply
    41,458x = 63,758 × 63,758
  4. Step 4: Simplify right side
    41,458x = 4,065,082,564
  5. Step 5: Solve for x
    x = 4,065,082,564/41,458
  6. Step 6: Final answer
    x = 98,053.03

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.