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Finding the Third Proportional to 34,916.06 and 75,367.97

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Solution

The third proportional to 34,916.06 and 75,367.97 is: 162,685.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,916.06 : 75,367.97 = 75,367.97 : x
  2. Step 2: Convert to fraction form
    34,916.06/75,367.97 = 75,367.97/x
  3. Step 3: Cross multiply
    34,916.06x = 75,367.97 × 75,367.97
  4. Step 4: Simplify right side
    34,916.06x = 5,680,330,713.50
  5. Step 5: Solve for x
    x = 5,680,330,713.50/34,916.06
  6. Step 6: Final answer
    x = 162,685.32

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.