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Finding the Third Proportional to 7,097 and 8,681

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Solution

The third proportional to 7,097 and 8,681 is: 10,618.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,097 : 8,681 = 8,681 : x
  2. Step 2: Convert to fraction form
    7,097/8,681 = 8,681/x
  3. Step 3: Cross multiply
    7,097x = 8,681 × 8,681
  4. Step 4: Simplify right side
    7,097x = 75,359,761
  5. Step 5: Solve for x
    x = 75,359,761/7,097
  6. Step 6: Final answer
    x = 10,618.54

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Why These Related Problems?

These problems maintain the same ratio (1.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.