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Finding the Third Proportional to 40,024 and 61,948

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Solution

The third proportional to 40,024 and 61,948 is: 95,881.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,024 : 61,948 = 61,948 : x
  2. Step 2: Convert to fraction form
    40,024/61,948 = 61,948/x
  3. Step 3: Cross multiply
    40,024x = 61,948 × 61,948
  4. Step 4: Simplify right side
    40,024x = 3,837,554,704
  5. Step 5: Solve for x
    x = 3,837,554,704/40,024
  6. Step 6: Final answer
    x = 95,881.34

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.