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Finding the Third Proportional to 47,532 and 74,760

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Solution

The third proportional to 47,532 and 74,760 is: 117,585.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,532 : 74,760 = 74,760 : x
  2. Step 2: Convert to fraction form
    47,532/74,760 = 74,760/x
  3. Step 3: Cross multiply
    47,532x = 74,760 × 74,760
  4. Step 4: Simplify right side
    47,532x = 5,589,057,600
  5. Step 5: Solve for x
    x = 5,589,057,600/47,532
  6. Step 6: Final answer
    x = 117,585.16

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.