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Finding the Third Proportional to 27,130.50 and 58,788.56

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Solution

The third proportional to 27,130.50 and 58,788.56 is: 127,387.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,130.50 : 58,788.56 = 58,788.56 : x
  2. Step 2: Convert to fraction form
    27,130.50/58,788.56 = 58,788.56/x
  3. Step 3: Cross multiply
    27,130.50x = 58,788.56 × 58,788.56
  4. Step 4: Simplify right side
    27,130.50x = 3,456,095,080.82
  5. Step 5: Solve for x
    x = 3,456,095,080.82/27,130.50
  6. Step 6: Final answer
    x = 127,387.81

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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.