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Finding the Third Proportional to 34,536 and 52,074

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Solution

The third proportional to 34,536 and 52,074 is: 78,518.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,536 : 52,074 = 52,074 : x
  2. Step 2: Convert to fraction form
    34,536/52,074 = 52,074/x
  3. Step 3: Cross multiply
    34,536x = 52,074 × 52,074
  4. Step 4: Simplify right side
    34,536x = 2,711,701,476
  5. Step 5: Solve for x
    x = 2,711,701,476/34,536
  6. Step 6: Final answer
    x = 78,518.11

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.