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Finding the Third Proportional to 10,302 and 16,586

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Solution

The third proportional to 10,302 and 16,586 is: 26,703.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,302 : 16,586 = 16,586 : x
  2. Step 2: Convert to fraction form
    10,302/16,586 = 16,586/x
  3. Step 3: Cross multiply
    10,302x = 16,586 × 16,586
  4. Step 4: Simplify right side
    10,302x = 275,095,396
  5. Step 5: Solve for x
    x = 275,095,396/10,302
  6. Step 6: Final answer
    x = 26,703.11

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.