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Finding the Third Proportional to 10,475 and 22,399

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Solution

The third proportional to 10,475 and 22,399 is: 47,896.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,475 : 22,399 = 22,399 : x
  2. Step 2: Convert to fraction form
    10,475/22,399 = 22,399/x
  3. Step 3: Cross multiply
    10,475x = 22,399 × 22,399
  4. Step 4: Simplify right side
    10,475x = 501,715,201
  5. Step 5: Solve for x
    x = 501,715,201/10,475
  6. Step 6: Final answer
    x = 47,896.44

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.