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Finding the Third Proportional to 21,332 and 45,823

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Solution

The third proportional to 21,332 and 45,823 is: 98,431.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,332 : 45,823 = 45,823 : x
  2. Step 2: Convert to fraction form
    21,332/45,823 = 45,823/x
  3. Step 3: Cross multiply
    21,332x = 45,823 × 45,823
  4. Step 4: Simplify right side
    21,332x = 2,099,747,329
  5. Step 5: Solve for x
    x = 2,099,747,329/21,332
  6. Step 6: Final answer
    x = 98,431.81

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.