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Finding the Third Proportional to 21,233 and 45,382

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Solution

The third proportional to 21,233 and 45,382 is: 96,996.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,233 : 45,382 = 45,382 : x
  2. Step 2: Convert to fraction form
    21,233/45,382 = 45,382/x
  3. Step 3: Cross multiply
    21,233x = 45,382 × 45,382
  4. Step 4: Simplify right side
    21,233x = 2,059,525,924
  5. Step 5: Solve for x
    x = 2,059,525,924/21,233
  6. Step 6: Final answer
    x = 96,996.46

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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.