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Finding the Third Proportional to 27,254.50 and 58,449.50

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Solution

The third proportional to 27,254.50 and 58,449.50 is: 125,349.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,254.50 : 58,449.50 = 58,449.50 : x
  2. Step 2: Convert to fraction form
    27,254.50/58,449.50 = 58,449.50/x
  3. Step 3: Cross multiply
    27,254.50x = 58,449.50 × 58,449.50
  4. Step 4: Simplify right side
    27,254.50x = 3,416,344,050.25
  5. Step 5: Solve for x
    x = 3,416,344,050.25/27,254.50
  6. Step 6: Final answer
    x = 125,349.72

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.