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Finding the Third Proportional to 4,565 and 6,685

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Solution

The third proportional to 4,565 and 6,685 is: 9,789.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,565 : 6,685 = 6,685 : x
  2. Step 2: Convert to fraction form
    4,565/6,685 = 6,685/x
  3. Step 3: Cross multiply
    4,565x = 6,685 × 6,685
  4. Step 4: Simplify right side
    4,565x = 44,689,225
  5. Step 5: Solve for x
    x = 44,689,225/4,565
  6. Step 6: Final answer
    x = 9,789.53

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.