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Finding the Third Proportional to 47,360 and 72,880

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Solution

The third proportional to 47,360 and 72,880 is: 112,151.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,360 : 72,880 = 72,880 : x
  2. Step 2: Convert to fraction form
    47,360/72,880 = 72,880/x
  3. Step 3: Cross multiply
    47,360x = 72,880 × 72,880
  4. Step 4: Simplify right side
    47,360x = 5,311,494,400
  5. Step 5: Solve for x
    x = 5,311,494,400/47,360
  6. Step 6: Final answer
    x = 112,151.49

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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.