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Finding the Third Proportional to 17,335.13 and 26,894.25

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Solution

The third proportional to 17,335.13 and 26,894.25 is: 41,724.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,335.13 : 26,894.25 = 26,894.25 : x
  2. Step 2: Convert to fraction form
    17,335.13/26,894.25 = 26,894.25/x
  3. Step 3: Cross multiply
    17,335.13x = 26,894.25 × 26,894.25
  4. Step 4: Simplify right side
    17,335.13x = 723,300,683.06
  5. Step 5: Solve for x
    x = 723,300,683.06/17,335.13
  6. Step 6: Final answer
    x = 41,724.57

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.