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Finding the Third Proportional to 2,347.73 and 5,459.27

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Solution

The third proportional to 2,347.73 and 5,459.27 is: 12,694.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,347.73 : 5,459.27 = 5,459.27 : x
  2. Step 2: Convert to fraction form
    2,347.73/5,459.27 = 5,459.27/x
  3. Step 3: Cross multiply
    2,347.73x = 5,459.27 × 5,459.27
  4. Step 4: Simplify right side
    2,347.73x = 29,803,666.47
  5. Step 5: Solve for x
    x = 29,803,666.47/2,347.73
  6. Step 6: Final answer
    x = 12,694.65

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.