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Finding the Third Proportional to 21,065 and 30,733

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Solution

The third proportional to 21,065 and 30,733 is: 44,838.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,065 : 30,733 = 30,733 : x
  2. Step 2: Convert to fraction form
    21,065/30,733 = 30,733/x
  3. Step 3: Cross multiply
    21,065x = 30,733 × 30,733
  4. Step 4: Simplify right side
    21,065x = 944,517,289
  5. Step 5: Solve for x
    x = 944,517,289/21,065
  6. Step 6: Final answer
    x = 44,838.23

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.