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Finding the Third Proportional to 10,069 and 23,320

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Solution

The third proportional to 10,069 and 23,320 is: 54,009.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,069 : 23,320 = 23,320 : x
  2. Step 2: Convert to fraction form
    10,069/23,320 = 23,320/x
  3. Step 3: Cross multiply
    10,069x = 23,320 × 23,320
  4. Step 4: Simplify right side
    10,069x = 543,822,400
  5. Step 5: Solve for x
    x = 543,822,400/10,069
  6. Step 6: Final answer
    x = 54,009.57

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.