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Finding the Third Proportional to 47,412 and 109,482

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Solution

The third proportional to 47,412 and 109,482 is: 252,811.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,412 : 109,482 = 109,482 : x
  2. Step 2: Convert to fraction form
    47,412/109,482 = 109,482/x
  3. Step 3: Cross multiply
    47,412x = 109,482 × 109,482
  4. Step 4: Simplify right side
    47,412x = 11,986,308,324
  5. Step 5: Solve for x
    x = 11,986,308,324/47,412
  6. Step 6: Final answer
    x = 252,811.70

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.