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Finding the Third Proportional to 6,494.50 and 9,287

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Solution

The third proportional to 6,494.50 and 9,287 is: 13,280.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,494.50 : 9,287 = 9,287 : x
  2. Step 2: Convert to fraction form
    6,494.50/9,287 = 9,287/x
  3. Step 3: Cross multiply
    6,494.50x = 9,287 × 9,287
  4. Step 4: Simplify right side
    6,494.50x = 86,248,369
  5. Step 5: Solve for x
    x = 86,248,369/6,494.50
  6. Step 6: Final answer
    x = 13,280.22

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.