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Finding the Third Proportional to 7,540 and 16,586

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Solution

The third proportional to 7,540 and 16,586 is: 36,484.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,540 : 16,586 = 16,586 : x
  2. Step 2: Convert to fraction form
    7,540/16,586 = 16,586/x
  3. Step 3: Cross multiply
    7,540x = 16,586 × 16,586
  4. Step 4: Simplify right side
    7,540x = 275,095,396
  5. Step 5: Solve for x
    x = 275,095,396/7,540
  6. Step 6: Final answer
    x = 36,484.80

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.