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Finding the Third Proportional to 34,709 and 52,304

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Solution

The third proportional to 34,709 and 52,304 is: 78,818.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,709 : 52,304 = 52,304 : x
  2. Step 2: Convert to fraction form
    34,709/52,304 = 52,304/x
  3. Step 3: Cross multiply
    34,709x = 52,304 × 52,304
  4. Step 4: Simplify right side
    34,709x = 2,735,708,416
  5. Step 5: Solve for x
    x = 2,735,708,416/34,709
  6. Step 6: Final answer
    x = 78,818.42

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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.