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Finding the Third Proportional to 40,014 and 83,808

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Solution

The third proportional to 40,014 and 83,808 is: 175,533.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,014 : 83,808 = 83,808 : x
  2. Step 2: Convert to fraction form
    40,014/83,808 = 83,808/x
  3. Step 3: Cross multiply
    40,014x = 83,808 × 83,808
  4. Step 4: Simplify right side
    40,014x = 7,023,780,864
  5. Step 5: Solve for x
    x = 7,023,780,864/40,014
  6. Step 6: Final answer
    x = 175,533.09

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.