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Finding the Third Proportional to 40,315 and 62,039

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Solution

The third proportional to 40,315 and 62,039 is: 95,469.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,315 : 62,039 = 62,039 : x
  2. Step 2: Convert to fraction form
    40,315/62,039 = 62,039/x
  3. Step 3: Cross multiply
    40,315x = 62,039 × 62,039
  4. Step 4: Simplify right side
    40,315x = 3,848,837,521
  5. Step 5: Solve for x
    x = 3,848,837,521/40,315
  6. Step 6: Final answer
    x = 95,469.12

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.