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Finding the Third Proportional to 7,785 and 17,001

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Solution

The third proportional to 7,785 and 17,001 is: 37,127.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,785 : 17,001 = 17,001 : x
  2. Step 2: Convert to fraction form
    7,785/17,001 = 17,001/x
  3. Step 3: Cross multiply
    7,785x = 17,001 × 17,001
  4. Step 4: Simplify right side
    7,785x = 289,034,001
  5. Step 5: Solve for x
    x = 289,034,001/7,785
  6. Step 6: Final answer
    x = 37,127.04

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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.