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Finding the Third Proportional to 17,617.50 and 24,158.25

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Solution

The third proportional to 17,617.50 and 24,158.25 is: 33,127.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,617.50 : 24,158.25 = 24,158.25 : x
  2. Step 2: Convert to fraction form
    17,617.50/24,158.25 = 24,158.25/x
  3. Step 3: Cross multiply
    17,617.50x = 24,158.25 × 24,158.25
  4. Step 4: Simplify right side
    17,617.50x = 583,621,043.06
  5. Step 5: Solve for x
    x = 583,621,043.06/17,617.50
  6. Step 6: Final answer
    x = 33,127.35

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.