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Finding the Third Proportional to 17,164.59 and 24,498.56

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Solution

The third proportional to 17,164.59 and 24,498.56 is: 34,966.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,164.59 : 24,498.56 = 24,498.56 : x
  2. Step 2: Convert to fraction form
    17,164.59/24,498.56 = 24,498.56/x
  3. Step 3: Cross multiply
    17,164.59x = 24,498.56 × 24,498.56
  4. Step 4: Simplify right side
    17,164.59x = 600,179,564.57
  5. Step 5: Solve for x
    x = 600,179,564.57/17,164.59
  6. Step 6: Final answer
    x = 34,966.14

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.