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Finding the Third Proportional to 15,934 and 34,784

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Solution

The third proportional to 15,934 and 34,784 is: 75,933.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,934 : 34,784 = 34,784 : x
  2. Step 2: Convert to fraction form
    15,934/34,784 = 34,784/x
  3. Step 3: Cross multiply
    15,934x = 34,784 × 34,784
  4. Step 4: Simplify right side
    15,934x = 1,209,926,656
  5. Step 5: Solve for x
    x = 1,209,926,656/15,934
  6. Step 6: Final answer
    x = 75,933.64

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.