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Finding the Third Proportional to 6,971 and 9,457

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Solution

The third proportional to 6,971 and 9,457 is: 12,829.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,971 : 9,457 = 9,457 : x
  2. Step 2: Convert to fraction form
    6,971/9,457 = 9,457/x
  3. Step 3: Cross multiply
    6,971x = 9,457 × 9,457
  4. Step 4: Simplify right side
    6,971x = 89,434,849
  5. Step 5: Solve for x
    x = 89,434,849/6,971
  6. Step 6: Final answer
    x = 12,829.56

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.