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Finding the Third Proportional to 10,082 and 21,703

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Solution

The third proportional to 10,082 and 21,703 is: 46,718.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,082 : 21,703 = 21,703 : x
  2. Step 2: Convert to fraction form
    10,082/21,703 = 21,703/x
  3. Step 3: Cross multiply
    10,082x = 21,703 × 21,703
  4. Step 4: Simplify right side
    10,082x = 471,020,209
  5. Step 5: Solve for x
    x = 471,020,209/10,082
  6. Step 6: Final answer
    x = 46,718.93

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.