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Finding the Third Proportional to 3,177.98 and 6,663.52

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Solution

The third proportional to 3,177.98 and 6,663.52 is: 13,971.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,177.98 : 6,663.52 = 6,663.52 : x
  2. Step 2: Convert to fraction form
    3,177.98/6,663.52 = 6,663.52/x
  3. Step 3: Cross multiply
    3,177.98x = 6,663.52 × 6,663.52
  4. Step 4: Simplify right side
    3,177.98x = 44,402,440.48
  5. Step 5: Solve for x
    x = 44,402,440.48/3,177.98
  6. Step 6: Final answer
    x = 13,971.89

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.