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Finding the Third Proportional to 17,041 and 24,988.50

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Solution

The third proportional to 17,041 and 24,988.50 is: 36,642.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,041 : 24,988.50 = 24,988.50 : x
  2. Step 2: Convert to fraction form
    17,041/24,988.50 = 24,988.50/x
  3. Step 3: Cross multiply
    17,041x = 24,988.50 × 24,988.50
  4. Step 4: Simplify right side
    17,041x = 624,425,132.25
  5. Step 5: Solve for x
    x = 624,425,132.25/17,041
  6. Step 6: Final answer
    x = 36,642.52

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.