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Finding the Third Proportional to 10,032 and 22,002

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Solution

The third proportional to 10,032 and 22,002 is: 48,254.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,032 : 22,002 = 22,002 : x
  2. Step 2: Convert to fraction form
    10,032/22,002 = 22,002/x
  3. Step 3: Cross multiply
    10,032x = 22,002 × 22,002
  4. Step 4: Simplify right side
    10,032x = 484,088,004
  5. Step 5: Solve for x
    x = 484,088,004/10,032
  6. Step 6: Final answer
    x = 48,254.39

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.