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Finding the Third Proportional to 27,959 and 41,145.50

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Solution

The third proportional to 27,959 and 41,145.50 is: 60,551.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,959 : 41,145.50 = 41,145.50 : x
  2. Step 2: Convert to fraction form
    27,959/41,145.50 = 41,145.50/x
  3. Step 3: Cross multiply
    27,959x = 41,145.50 × 41,145.50
  4. Step 4: Simplify right side
    27,959x = 1,692,952,170.25
  5. Step 5: Solve for x
    x = 1,692,952,170.25/27,959
  6. Step 6: Final answer
    x = 60,551.24

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.