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Finding the Third Proportional to 15,160 and 32,734

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Solution

The third proportional to 15,160 and 32,734 is: 70,680.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,160 : 32,734 = 32,734 : x
  2. Step 2: Convert to fraction form
    15,160/32,734 = 32,734/x
  3. Step 3: Cross multiply
    15,160x = 32,734 × 32,734
  4. Step 4: Simplify right side
    15,160x = 1,071,514,756
  5. Step 5: Solve for x
    x = 1,071,514,756/15,160
  6. Step 6: Final answer
    x = 70,680.39

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.