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Finding the Third Proportional to 43,510 and 58,272

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Solution

The third proportional to 43,510 and 58,272 is: 78,042.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,510 : 58,272 = 58,272 : x
  2. Step 2: Convert to fraction form
    43,510/58,272 = 58,272/x
  3. Step 3: Cross multiply
    43,510x = 58,272 × 58,272
  4. Step 4: Simplify right side
    43,510x = 3,395,625,984
  5. Step 5: Solve for x
    x = 3,395,625,984/43,510
  6. Step 6: Final answer
    x = 78,042.43

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.