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Finding the Third Proportional to 47,176.50 and 68,820

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Solution

The third proportional to 47,176.50 and 68,820 is: 100,393.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,176.50 : 68,820 = 68,820 : x
  2. Step 2: Convert to fraction form
    47,176.50/68,820 = 68,820/x
  3. Step 3: Cross multiply
    47,176.50x = 68,820 × 68,820
  4. Step 4: Simplify right side
    47,176.50x = 4,736,192,400
  5. Step 5: Solve for x
    x = 4,736,192,400/47,176.50
  6. Step 6: Final answer
    x = 100,393.04

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.