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Finding the Third Proportional to 51,009.75 and 71,706

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Solution

The third proportional to 51,009.75 and 71,706 is: 100,799.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,009.75 : 71,706 = 71,706 : x
  2. Step 2: Convert to fraction form
    51,009.75/71,706 = 71,706/x
  3. Step 3: Cross multiply
    51,009.75x = 71,706 × 71,706
  4. Step 4: Simplify right side
    51,009.75x = 5,141,750,436
  5. Step 5: Solve for x
    x = 5,141,750,436/51,009.75
  6. Step 6: Final answer
    x = 100,799.37

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.