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Finding the Third Proportional to 21,230 and 45,277

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Solution

The third proportional to 21,230 and 45,277 is: 96,561.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,230 : 45,277 = 45,277 : x
  2. Step 2: Convert to fraction form
    21,230/45,277 = 45,277/x
  3. Step 3: Cross multiply
    21,230x = 45,277 × 45,277
  4. Step 4: Simplify right side
    21,230x = 2,050,006,729
  5. Step 5: Solve for x
    x = 2,050,006,729/21,230
  6. Step 6: Final answer
    x = 96,561.79

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.