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Finding the Third Proportional to 27,282 and 58,867.50

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Solution

The third proportional to 27,282 and 58,867.50 is: 127,020.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,282 : 58,867.50 = 58,867.50 : x
  2. Step 2: Convert to fraction form
    27,282/58,867.50 = 58,867.50/x
  3. Step 3: Cross multiply
    27,282x = 58,867.50 × 58,867.50
  4. Step 4: Simplify right side
    27,282x = 3,465,382,556.25
  5. Step 5: Solve for x
    x = 3,465,382,556.25/27,282
  6. Step 6: Final answer
    x = 127,020.84

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.