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Finding the Third Proportional to 7,068 and 9,298

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Solution

The third proportional to 7,068 and 9,298 is: 12,231.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,068 : 9,298 = 9,298 : x
  2. Step 2: Convert to fraction form
    7,068/9,298 = 9,298/x
  3. Step 3: Cross multiply
    7,068x = 9,298 × 9,298
  4. Step 4: Simplify right side
    7,068x = 86,452,804
  5. Step 5: Solve for x
    x = 86,452,804/7,068
  6. Step 6: Final answer
    x = 12,231.58

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.