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Finding the Third Proportional to 41,058 and 63,396

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Solution

The third proportional to 41,058 and 63,396 is: 97,887.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,058 : 63,396 = 63,396 : x
  2. Step 2: Convert to fraction form
    41,058/63,396 = 63,396/x
  3. Step 3: Cross multiply
    41,058x = 63,396 × 63,396
  4. Step 4: Simplify right side
    41,058x = 4,019,052,816
  5. Step 5: Solve for x
    x = 4,019,052,816/41,058
  6. Step 6: Final answer
    x = 97,887.20

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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.