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Finding the Third Proportional to 47,700 and 73,350

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Solution

The third proportional to 47,700 and 73,350 is: 112,792.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,700 : 73,350 = 73,350 : x
  2. Step 2: Convert to fraction form
    47,700/73,350 = 73,350/x
  3. Step 3: Cross multiply
    47,700x = 73,350 × 73,350
  4. Step 4: Simplify right side
    47,700x = 5,380,222,500
  5. Step 5: Solve for x
    x = 5,380,222,500/47,700
  6. Step 6: Final answer
    x = 112,792.92

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.