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Finding the Third Proportional to 29,247 and 44,486

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Solution

The third proportional to 29,247 and 44,486 is: 67,665.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,247 : 44,486 = 44,486 : x
  2. Step 2: Convert to fraction form
    29,247/44,486 = 44,486/x
  3. Step 3: Cross multiply
    29,247x = 44,486 × 44,486
  4. Step 4: Simplify right side
    29,247x = 1,979,004,196
  5. Step 5: Solve for x
    x = 1,979,004,196/29,247
  6. Step 6: Final answer
    x = 67,665.20

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.