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Finding the Third Proportional to 4,785 and 9,489

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Solution

The third proportional to 4,785 and 9,489 is: 18,817.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,785 : 9,489 = 9,489 : x
  2. Step 2: Convert to fraction form
    4,785/9,489 = 9,489/x
  3. Step 3: Cross multiply
    4,785x = 9,489 × 9,489
  4. Step 4: Simplify right side
    4,785x = 90,041,121
  5. Step 5: Solve for x
    x = 90,041,121/4,785
  6. Step 6: Final answer
    x = 18,817.37

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Why These Related Problems?

These problems maintain the same ratio (1.98) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.