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Finding the Third Proportional to 4,736 and 7,565

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Solution

The third proportional to 4,736 and 7,565 is: 12,083.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,736 : 7,565 = 7,565 : x
  2. Step 2: Convert to fraction form
    4,736/7,565 = 7,565/x
  3. Step 3: Cross multiply
    4,736x = 7,565 × 7,565
  4. Step 4: Simplify right side
    4,736x = 57,229,225
  5. Step 5: Solve for x
    x = 57,229,225/4,736
  6. Step 6: Final answer
    x = 12,083.87

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.