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Finding the Third Proportional to 15,639 and 34,304

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Solution

The third proportional to 15,639 and 34,304 is: 75,245.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,639 : 34,304 = 34,304 : x
  2. Step 2: Convert to fraction form
    15,639/34,304 = 34,304/x
  3. Step 3: Cross multiply
    15,639x = 34,304 × 34,304
  4. Step 4: Simplify right side
    15,639x = 1,176,764,416
  5. Step 5: Solve for x
    x = 1,176,764,416/15,639
  6. Step 6: Final answer
    x = 75,245.50

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.