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Finding the Third Proportional to 15,034 and 32,154

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Solution

The third proportional to 15,034 and 32,154 is: 68,769.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,034 : 32,154 = 32,154 : x
  2. Step 2: Convert to fraction form
    15,034/32,154 = 32,154/x
  3. Step 3: Cross multiply
    15,034x = 32,154 × 32,154
  4. Step 4: Simplify right side
    15,034x = 1,033,879,716
  5. Step 5: Solve for x
    x = 1,033,879,716/15,034
  6. Step 6: Final answer
    x = 68,769.44

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.