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Finding the Third Proportional to 40,466 and 47,210

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Solution

The third proportional to 40,466 and 47,210 is: 55,077.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,466 : 47,210 = 47,210 : x
  2. Step 2: Convert to fraction form
    40,466/47,210 = 47,210/x
  3. Step 3: Cross multiply
    40,466x = 47,210 × 47,210
  4. Step 4: Simplify right side
    40,466x = 2,228,784,100
  5. Step 5: Solve for x
    x = 2,228,784,100/40,466
  6. Step 6: Final answer
    x = 55,077.94

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Why These Related Problems?

These problems maintain the same ratio (1.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.