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Finding the Third Proportional to 7,582 and 16,540

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Solution

The third proportional to 7,582 and 16,540 is: 36,081.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,582 : 16,540 = 16,540 : x
  2. Step 2: Convert to fraction form
    7,582/16,540 = 16,540/x
  3. Step 3: Cross multiply
    7,582x = 16,540 × 16,540
  4. Step 4: Simplify right side
    7,582x = 273,571,600
  5. Step 5: Solve for x
    x = 273,571,600/7,582
  6. Step 6: Final answer
    x = 36,081.72

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.