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Finding the Third Proportional to 7,284 and 7,908

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Solution

The third proportional to 7,284 and 7,908 is: 8,585.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,284 : 7,908 = 7,908 : x
  2. Step 2: Convert to fraction form
    7,284/7,908 = 7,908/x
  3. Step 3: Cross multiply
    7,284x = 7,908 × 7,908
  4. Step 4: Simplify right side
    7,284x = 62,536,464
  5. Step 5: Solve for x
    x = 62,536,464/7,284
  6. Step 6: Final answer
    x = 8,585.46

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.