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Finding the Third Proportional to 3,542.34 and 7,756.03

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Solution

The third proportional to 3,542.34 and 7,756.03 is: 16,981.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,542.34 : 7,756.03 = 7,756.03 : x
  2. Step 2: Convert to fraction form
    3,542.34/7,756.03 = 7,756.03/x
  3. Step 3: Cross multiply
    3,542.34x = 7,756.03 × 7,756.03
  4. Step 4: Simplify right side
    3,542.34x = 60,156,020.75
  5. Step 5: Solve for x
    x = 60,156,020.75/3,542.34
  6. Step 6: Final answer
    x = 16,981.98

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.