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Finding the Third Proportional to 41,712 and 61,462

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Solution

The third proportional to 41,712 and 61,462 is: 90,563.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,712 : 61,462 = 61,462 : x
  2. Step 2: Convert to fraction form
    41,712/61,462 = 61,462/x
  3. Step 3: Cross multiply
    41,712x = 61,462 × 61,462
  4. Step 4: Simplify right side
    41,712x = 3,777,577,444
  5. Step 5: Solve for x
    x = 3,777,577,444/41,712
  6. Step 6: Final answer
    x = 90,563.33

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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.