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Finding the Third Proportional to 15,774 and 34,348

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Solution

The third proportional to 15,774 and 34,348 is: 74,793.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,774 : 34,348 = 34,348 : x
  2. Step 2: Convert to fraction form
    15,774/34,348 = 34,348/x
  3. Step 3: Cross multiply
    15,774x = 34,348 × 34,348
  4. Step 4: Simplify right side
    15,774x = 1,179,785,104
  5. Step 5: Solve for x
    x = 1,179,785,104/15,774
  6. Step 6: Final answer
    x = 74,793.02

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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.