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Finding the Third Proportional to 47,763 and 70,247.25

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Solution

The third proportional to 47,763 and 70,247.25 is: 103,315.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,763 : 70,247.25 = 70,247.25 : x
  2. Step 2: Convert to fraction form
    47,763/70,247.25 = 70,247.25/x
  3. Step 3: Cross multiply
    47,763x = 70,247.25 × 70,247.25
  4. Step 4: Simplify right side
    47,763x = 4,934,676,132.56
  5. Step 5: Solve for x
    x = 4,934,676,132.56/47,763
  6. Step 6: Final answer
    x = 103,315.87

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.