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Finding the Third Proportional to 7,566 and 17,802

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Solution

The third proportional to 7,566 and 17,802 is: 41,886.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,566 : 17,802 = 17,802 : x
  2. Step 2: Convert to fraction form
    7,566/17,802 = 17,802/x
  3. Step 3: Cross multiply
    7,566x = 17,802 × 17,802
  4. Step 4: Simplify right side
    7,566x = 316,911,204
  5. Step 5: Solve for x
    x = 316,911,204/7,566
  6. Step 6: Final answer
    x = 41,886.23

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.