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Finding the Third Proportional to 51,118.25 and 77,597

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Solution

The third proportional to 51,118.25 and 77,597 is: 117,791.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,118.25 : 77,597 = 77,597 : x
  2. Step 2: Convert to fraction form
    51,118.25/77,597 = 77,597/x
  3. Step 3: Cross multiply
    51,118.25x = 77,597 × 77,597
  4. Step 4: Simplify right side
    51,118.25x = 6,021,294,409
  5. Step 5: Solve for x
    x = 6,021,294,409/51,118.25
  6. Step 6: Final answer
    x = 117,791.48

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.