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Finding the Third Proportional to 47,853 and 71,313

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Solution

The third proportional to 47,853 and 71,313 is: 106,274.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,853 : 71,313 = 71,313 : x
  2. Step 2: Convert to fraction form
    47,853/71,313 = 71,313/x
  3. Step 3: Cross multiply
    47,853x = 71,313 × 71,313
  4. Step 4: Simplify right side
    47,853x = 5,085,543,969
  5. Step 5: Solve for x
    x = 5,085,543,969/47,853
  6. Step 6: Final answer
    x = 106,274.30

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.