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Finding the Third Proportional to 10,966 and 17,457

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Solution

The third proportional to 10,966 and 17,457 is: 27,790.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,966 : 17,457 = 17,457 : x
  2. Step 2: Convert to fraction form
    10,966/17,457 = 17,457/x
  3. Step 3: Cross multiply
    10,966x = 17,457 × 17,457
  4. Step 4: Simplify right side
    10,966x = 304,746,849
  5. Step 5: Solve for x
    x = 304,746,849/10,966
  6. Step 6: Final answer
    x = 27,790.16

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.