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Finding the Third Proportional to 51,603.19 and 76,447.97

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Solution

The third proportional to 51,603.19 and 76,447.97 is: 113,254.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,603.19 : 76,447.97 = 76,447.97 : x
  2. Step 2: Convert to fraction form
    51,603.19/76,447.97 = 76,447.97/x
  3. Step 3: Cross multiply
    51,603.19x = 76,447.97 × 76,447.97
  4. Step 4: Simplify right side
    51,603.19x = 5,844,291,926.00
  5. Step 5: Solve for x
    x = 5,844,291,926.00/51,603.19
  6. Step 6: Final answer
    x = 113,254.48

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.