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Finding the Third Proportional to 21,306 and 46,330

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Solution

The third proportional to 21,306 and 46,330 is: 100,744.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,306 : 46,330 = 46,330 : x
  2. Step 2: Convert to fraction form
    21,306/46,330 = 46,330/x
  3. Step 3: Cross multiply
    21,306x = 46,330 × 46,330
  4. Step 4: Simplify right side
    21,306x = 2,146,468,900
  5. Step 5: Solve for x
    x = 2,146,468,900/21,306
  6. Step 6: Final answer
    x = 100,744.81

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.