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Finding the Third Proportional to 15,186 and 22,034

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Solution

The third proportional to 15,186 and 22,034 is: 31,970.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,186 : 22,034 = 22,034 : x
  2. Step 2: Convert to fraction form
    15,186/22,034 = 22,034/x
  3. Step 3: Cross multiply
    15,186x = 22,034 × 22,034
  4. Step 4: Simplify right side
    15,186x = 485,497,156
  5. Step 5: Solve for x
    x = 485,497,156/15,186
  6. Step 6: Final answer
    x = 31,970.05

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.