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Finding the Third Proportional to 8,724 and 14,302

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Solution

The third proportional to 8,724 and 14,302 is: 23,446.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,724 : 14,302 = 14,302 : x
  2. Step 2: Convert to fraction form
    8,724/14,302 = 14,302/x
  3. Step 3: Cross multiply
    8,724x = 14,302 × 14,302
  4. Step 4: Simplify right side
    8,724x = 204,547,204
  5. Step 5: Solve for x
    x = 204,547,204/8,724
  6. Step 6: Final answer
    x = 23,446.49

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Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.