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Finding the Third Proportional to 51,277.85 and 77,624.37

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Solution

The third proportional to 51,277.85 and 77,624.37 is: 117,507.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,277.85 : 77,624.37 = 77,624.37 : x
  2. Step 2: Convert to fraction form
    51,277.85/77,624.37 = 77,624.37/x
  3. Step 3: Cross multiply
    51,277.85x = 77,624.37 × 77,624.37
  4. Step 4: Simplify right side
    51,277.85x = 6,025,542,381.26
  5. Step 5: Solve for x
    x = 6,025,542,381.26/51,277.85
  6. Step 6: Final answer
    x = 117,507.70

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.