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Finding the Third Proportional to 41,802 and 61,365

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Solution

The third proportional to 41,802 and 61,365 is: 90,083.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,802 : 61,365 = 61,365 : x
  2. Step 2: Convert to fraction form
    41,802/61,365 = 61,365/x
  3. Step 3: Cross multiply
    41,802x = 61,365 × 61,365
  4. Step 4: Simplify right side
    41,802x = 3,765,663,225
  5. Step 5: Solve for x
    x = 3,765,663,225/41,802
  6. Step 6: Final answer
    x = 90,083.33

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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.