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Finding the Third Proportional to 43,840 and 64,119

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Solution

The third proportional to 43,840 and 64,119 is: 93,778.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,840 : 64,119 = 64,119 : x
  2. Step 2: Convert to fraction form
    43,840/64,119 = 64,119/x
  3. Step 3: Cross multiply
    43,840x = 64,119 × 64,119
  4. Step 4: Simplify right side
    43,840x = 4,111,246,161
  5. Step 5: Solve for x
    x = 4,111,246,161/43,840
  6. Step 6: Final answer
    x = 93,778.43

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.