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Finding the Third Proportional to 10,283 and 22,023

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Solution

The third proportional to 10,283 and 22,023 is: 47,166.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,283 : 22,023 = 22,023 : x
  2. Step 2: Convert to fraction form
    10,283/22,023 = 22,023/x
  3. Step 3: Cross multiply
    10,283x = 22,023 × 22,023
  4. Step 4: Simplify right side
    10,283x = 485,012,529
  5. Step 5: Solve for x
    x = 485,012,529/10,283
  6. Step 6: Final answer
    x = 47,166.44

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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.