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Finding the Third Proportional to 17,017.59 and 25,423.88

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Solution

The third proportional to 17,017.59 and 25,423.88 is: 37,982.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,017.59 : 25,423.88 = 25,423.88 : x
  2. Step 2: Convert to fraction form
    17,017.59/25,423.88 = 25,423.88/x
  3. Step 3: Cross multiply
    17,017.59x = 25,423.88 × 25,423.88
  4. Step 4: Simplify right side
    17,017.59x = 646,373,420.02
  5. Step 5: Solve for x
    x = 646,373,420.02/17,017.59
  6. Step 6: Final answer
    x = 37,982.66

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.