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Finding the Third Proportional to 40,400 and 85,984

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Solution

The third proportional to 40,400 and 85,984 is: 183,001.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,400 : 85,984 = 85,984 : x
  2. Step 2: Convert to fraction form
    40,400/85,984 = 85,984/x
  3. Step 3: Cross multiply
    40,400x = 85,984 × 85,984
  4. Step 4: Simplify right side
    40,400x = 7,393,248,256
  5. Step 5: Solve for x
    x = 7,393,248,256/40,400
  6. Step 6: Final answer
    x = 183,001.19

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.