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Finding the Third Proportional to 17,101.13 and 23,756.63

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Solution

The third proportional to 17,101.13 and 23,756.63 is: 33,002.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,101.13 : 23,756.63 = 23,756.63 : x
  2. Step 2: Convert to fraction form
    17,101.13/23,756.63 = 23,756.63/x
  3. Step 3: Cross multiply
    17,101.13x = 23,756.63 × 23,756.63
  4. Step 4: Simplify right side
    17,101.13x = 564,377,231.39
  5. Step 5: Solve for x
    x = 564,377,231.39/17,101.13
  6. Step 6: Final answer
    x = 33,002.35

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.