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Finding the Third Proportional to 5,748 and 9,279

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Solution

The third proportional to 5,748 and 9,279 is: 14,979.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,748 : 9,279 = 9,279 : x
  2. Step 2: Convert to fraction form
    5,748/9,279 = 9,279/x
  3. Step 3: Cross multiply
    5,748x = 9,279 × 9,279
  4. Step 4: Simplify right side
    5,748x = 86,099,841
  5. Step 5: Solve for x
    x = 86,099,841/5,748
  6. Step 6: Final answer
    x = 14,979.10

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.