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Finding the Third Proportional to 41,702 and 61,454

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Solution

The third proportional to 41,702 and 61,454 is: 90,561.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,702 : 61,454 = 61,454 : x
  2. Step 2: Convert to fraction form
    41,702/61,454 = 61,454/x
  3. Step 3: Cross multiply
    41,702x = 61,454 × 61,454
  4. Step 4: Simplify right side
    41,702x = 3,776,594,116
  5. Step 5: Solve for x
    x = 3,776,594,116/41,702
  6. Step 6: Final answer
    x = 90,561.46

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.