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Finding the Third Proportional to 41,705 and 61,455

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Solution

The third proportional to 41,705 and 61,455 is: 90,557.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,705 : 61,455 = 61,455 : x
  2. Step 2: Convert to fraction form
    41,705/61,455 = 61,455/x
  3. Step 3: Cross multiply
    41,705x = 61,455 × 61,455
  4. Step 4: Simplify right side
    41,705x = 3,776,717,025
  5. Step 5: Solve for x
    x = 3,776,717,025/41,705
  6. Step 6: Final answer
    x = 90,557.90

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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.