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Finding the Third Proportional to 17,200.13 and 35,470.13

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Solution

The third proportional to 17,200.13 and 35,470.13 is: 73,146.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,200.13 : 35,470.13 = 35,470.13 : x
  2. Step 2: Convert to fraction form
    17,200.13/35,470.13 = 35,470.13/x
  3. Step 3: Cross multiply
    17,200.13x = 35,470.13 × 35,470.13
  4. Step 4: Simplify right side
    17,200.13x = 1,258,129,767.52
  5. Step 5: Solve for x
    x = 1,258,129,767.52/17,200.13
  6. Step 6: Final answer
    x = 73,146.55

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.