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Finding the Third Proportional to 17,577 and 38,269.13

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Solution

The third proportional to 17,577 and 38,269.13 is: 83,320.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,577 : 38,269.13 = 38,269.13 : x
  2. Step 2: Convert to fraction form
    17,577/38,269.13 = 38,269.13/x
  3. Step 3: Cross multiply
    17,577x = 38,269.13 × 38,269.13
  4. Step 4: Simplify right side
    17,577x = 1,464,525,928.27
  5. Step 5: Solve for x
    x = 1,464,525,928.27/17,577
  6. Step 6: Final answer
    x = 83,320.59

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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.