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Finding the Third Proportional to 34,806 and 52,368

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Solution

The third proportional to 34,806 and 52,368 is: 78,791.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,806 : 52,368 = 52,368 : x
  2. Step 2: Convert to fraction form
    34,806/52,368 = 52,368/x
  3. Step 3: Cross multiply
    34,806x = 52,368 × 52,368
  4. Step 4: Simplify right side
    34,806x = 2,742,407,424
  5. Step 5: Solve for x
    x = 2,742,407,424/34,806
  6. Step 6: Final answer
    x = 78,791.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.