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Finding the Third Proportional to 47,912 and 72,534

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Solution

The third proportional to 47,912 and 72,534 is: 109,809.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,912 : 72,534 = 72,534 : x
  2. Step 2: Convert to fraction form
    47,912/72,534 = 72,534/x
  3. Step 3: Cross multiply
    47,912x = 72,534 × 72,534
  4. Step 4: Simplify right side
    47,912x = 5,261,181,156
  5. Step 5: Solve for x
    x = 5,261,181,156/47,912
  6. Step 6: Final answer
    x = 109,809.26

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.