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Finding the Third Proportional to 34,542 and 47,094.75

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Solution

The third proportional to 34,542 and 47,094.75 is: 64,209.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,542 : 47,094.75 = 47,094.75 : x
  2. Step 2: Convert to fraction form
    34,542/47,094.75 = 47,094.75/x
  3. Step 3: Cross multiply
    34,542x = 47,094.75 × 47,094.75
  4. Step 4: Simplify right side
    34,542x = 2,217,915,477.56
  5. Step 5: Solve for x
    x = 2,217,915,477.56/34,542
  6. Step 6: Final answer
    x = 64,209.24

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.