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Finding the Third Proportional to 17,415 and 38,097

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Solution

The third proportional to 17,415 and 38,097 is: 83,340.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,415 : 38,097 = 38,097 : x
  2. Step 2: Convert to fraction form
    17,415/38,097 = 38,097/x
  3. Step 3: Cross multiply
    17,415x = 38,097 × 38,097
  4. Step 4: Simplify right side
    17,415x = 1,451,381,409
  5. Step 5: Solve for x
    x = 1,451,381,409/17,415
  6. Step 6: Final answer
    x = 83,340.88

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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.