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Finding the Third Proportional to 27,724.50 and 59,283

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Solution

The third proportional to 27,724.50 and 59,283 is: 126,764.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,724.50 : 59,283 = 59,283 : x
  2. Step 2: Convert to fraction form
    27,724.50/59,283 = 59,283/x
  3. Step 3: Cross multiply
    27,724.50x = 59,283 × 59,283
  4. Step 4: Simplify right side
    27,724.50x = 3,514,474,089
  5. Step 5: Solve for x
    x = 3,514,474,089/27,724.50
  6. Step 6: Final answer
    x = 126,764.20

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Why These Related Problems?

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