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Finding the Third Proportional to 4,241 and 4,565

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Solution

The third proportional to 4,241 and 4,565 is: 4,913.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,241 : 4,565 = 4,565 : x
  2. Step 2: Convert to fraction form
    4,241/4,565 = 4,565/x
  3. Step 3: Cross multiply
    4,241x = 4,565 × 4,565
  4. Step 4: Simplify right side
    4,241x = 20,839,225
  5. Step 5: Solve for x
    x = 20,839,225/4,241
  6. Step 6: Final answer
    x = 4,913.75

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Why These Related Problems?

These problems maintain the same ratio (1.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.