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Finding the Third Proportional to 17,246.25 and 24,715.13

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Solution

The third proportional to 17,246.25 and 24,715.13 is: 35,418.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,246.25 : 24,715.13 = 24,715.13 : x
  2. Step 2: Convert to fraction form
    17,246.25/24,715.13 = 24,715.13/x
  3. Step 3: Cross multiply
    17,246.25x = 24,715.13 × 24,715.13
  4. Step 4: Simplify right side
    17,246.25x = 610,837,403.77
  5. Step 5: Solve for x
    x = 610,837,403.77/17,246.25
  6. Step 6: Final answer
    x = 35,418.56

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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.