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Finding the Third Proportional to 51,509.25 and 77,986.13

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Solution

The third proportional to 51,509.25 and 77,986.13 is: 118,072.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,509.25 : 77,986.13 = 77,986.13 : x
  2. Step 2: Convert to fraction form
    51,509.25/77,986.13 = 77,986.13/x
  3. Step 3: Cross multiply
    51,509.25x = 77,986.13 × 77,986.13
  4. Step 4: Simplify right side
    51,509.25x = 6,081,835,692.52
  5. Step 5: Solve for x
    x = 6,081,835,692.52/51,509.25
  6. Step 6: Final answer
    x = 118,072.69

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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.