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Finding the Third Proportional to 43,024 and 60,928

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Solution

The third proportional to 43,024 and 60,928 is: 86,282.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,024 : 60,928 = 60,928 : x
  2. Step 2: Convert to fraction form
    43,024/60,928 = 60,928/x
  3. Step 3: Cross multiply
    43,024x = 60,928 × 60,928
  4. Step 4: Simplify right side
    43,024x = 3,712,221,184
  5. Step 5: Solve for x
    x = 3,712,221,184/43,024
  6. Step 6: Final answer
    x = 86,282.57

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.