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Finding the Third Proportional to 40,022 and 72,430

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Solution

The third proportional to 40,022 and 72,430 is: 131,080.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,022 : 72,430 = 72,430 : x
  2. Step 2: Convert to fraction form
    40,022/72,430 = 72,430/x
  3. Step 3: Cross multiply
    40,022x = 72,430 × 72,430
  4. Step 4: Simplify right side
    40,022x = 5,246,104,900
  5. Step 5: Solve for x
    x = 5,246,104,900/40,022
  6. Step 6: Final answer
    x = 131,080.53

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Why These Related Problems?

These problems maintain the same ratio (1.81) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.