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Finding the Third Proportional to 7,284 and 7,959

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Solution

The third proportional to 7,284 and 7,959 is: 8,696.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,284 : 7,959 = 7,959 : x
  2. Step 2: Convert to fraction form
    7,284/7,959 = 7,959/x
  3. Step 3: Cross multiply
    7,284x = 7,959 × 7,959
  4. Step 4: Simplify right side
    7,284x = 63,345,681
  5. Step 5: Solve for x
    x = 63,345,681/7,284
  6. Step 6: Final answer
    x = 8,696.55

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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.