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Finding the Third Proportional to 27,234 and 58,991.63

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Solution

The third proportional to 27,234 and 58,991.63 is: 127,781.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,234 : 58,991.63 = 58,991.63 : x
  2. Step 2: Convert to fraction form
    27,234/58,991.63 = 58,991.63/x
  3. Step 3: Cross multiply
    27,234x = 58,991.63 × 58,991.63
  4. Step 4: Simplify right side
    27,234x = 3,480,011,820.14
  5. Step 5: Solve for x
    x = 3,480,011,820.14/27,234
  6. Step 6: Final answer
    x = 127,781.88

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.