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Finding the Third Proportional to 7,862 and 17,206

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Solution

The third proportional to 7,862 and 17,206 is: 37,655.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,862 : 17,206 = 17,206 : x
  2. Step 2: Convert to fraction form
    7,862/17,206 = 17,206/x
  3. Step 3: Cross multiply
    7,862x = 17,206 × 17,206
  4. Step 4: Simplify right side
    7,862x = 296,046,436
  5. Step 5: Solve for x
    x = 296,046,436/7,862
  6. Step 6: Final answer
    x = 37,655.36

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.