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Finding the Third Proportional to 21,023 and 45,992

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Solution

The third proportional to 21,023 and 45,992 is: 100,616.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,023 : 45,992 = 45,992 : x
  2. Step 2: Convert to fraction form
    21,023/45,992 = 45,992/x
  3. Step 3: Cross multiply
    21,023x = 45,992 × 45,992
  4. Step 4: Simplify right side
    21,023x = 2,115,264,064
  5. Step 5: Solve for x
    x = 2,115,264,064/21,023
  6. Step 6: Final answer
    x = 100,616.66

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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.