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Finding the Third Proportional to 34,202 and 52,536

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Solution

The third proportional to 34,202 and 52,536 is: 80,697.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,202 : 52,536 = 52,536 : x
  2. Step 2: Convert to fraction form
    34,202/52,536 = 52,536/x
  3. Step 3: Cross multiply
    34,202x = 52,536 × 52,536
  4. Step 4: Simplify right side
    34,202x = 2,760,031,296
  5. Step 5: Solve for x
    x = 2,760,031,296/34,202
  6. Step 6: Final answer
    x = 80,697.95

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.