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Finding the Third Proportional to 15,184 and 32,870

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Solution

The third proportional to 15,184 and 32,870 is: 71,156.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,184 : 32,870 = 32,870 : x
  2. Step 2: Convert to fraction form
    15,184/32,870 = 32,870/x
  3. Step 3: Cross multiply
    15,184x = 32,870 × 32,870
  4. Step 4: Simplify right side
    15,184x = 1,080,436,900
  5. Step 5: Solve for x
    x = 1,080,436,900/15,184
  6. Step 6: Final answer
    x = 71,156.28

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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.