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Finding the Third Proportional to 14,562 and 21,785

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Solution

The third proportional to 14,562 and 21,785 is: 32,590.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,562 : 21,785 = 21,785 : x
  2. Step 2: Convert to fraction form
    14,562/21,785 = 21,785/x
  3. Step 3: Cross multiply
    14,562x = 21,785 × 21,785
  4. Step 4: Simplify right side
    14,562x = 474,586,225
  5. Step 5: Solve for x
    x = 474,586,225/14,562
  6. Step 6: Final answer
    x = 32,590.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.