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Finding the Third Proportional to 7,959 and 10,072.50

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Solution

The third proportional to 7,959 and 10,072.50 is: 12,747.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,959 : 10,072.50 = 10,072.50 : x
  2. Step 2: Convert to fraction form
    7,959/10,072.50 = 10,072.50/x
  3. Step 3: Cross multiply
    7,959x = 10,072.50 × 10,072.50
  4. Step 4: Simplify right side
    7,959x = 101,455,256.25
  5. Step 5: Solve for x
    x = 101,455,256.25/7,959
  6. Step 6: Final answer
    x = 12,747.24

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These problems maintain the same ratio (1.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.