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Finding the Third Proportional to 21,324 and 46,680

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Solution

The third proportional to 21,324 and 46,680 is: 102,186.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,324 : 46,680 = 46,680 : x
  2. Step 2: Convert to fraction form
    21,324/46,680 = 46,680/x
  3. Step 3: Cross multiply
    21,324x = 46,680 × 46,680
  4. Step 4: Simplify right side
    21,324x = 2,179,022,400
  5. Step 5: Solve for x
    x = 2,179,022,400/21,324
  6. Step 6: Final answer
    x = 102,186.38

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.