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Finding the Third Proportional to 8,123 and 8,933

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Solution

The third proportional to 8,123 and 8,933 is: 9,823.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,123 : 8,933 = 8,933 : x
  2. Step 2: Convert to fraction form
    8,123/8,933 = 8,933/x
  3. Step 3: Cross multiply
    8,123x = 8,933 × 8,933
  4. Step 4: Simplify right side
    8,123x = 79,798,489
  5. Step 5: Solve for x
    x = 79,798,489/8,123
  6. Step 6: Final answer
    x = 9,823.77

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Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.