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Finding the Third Proportional to 6,969 and 8,076

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Solution

The third proportional to 6,969 and 8,076 is: 9,358.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,969 : 8,076 = 8,076 : x
  2. Step 2: Convert to fraction form
    6,969/8,076 = 8,076/x
  3. Step 3: Cross multiply
    6,969x = 8,076 × 8,076
  4. Step 4: Simplify right side
    6,969x = 65,221,776
  5. Step 5: Solve for x
    x = 65,221,776/6,969
  6. Step 6: Final answer
    x = 9,358.84

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These problems maintain the same ratio (1.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.