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Finding the Third Proportional to 21,550 and 46,382

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Solution

The third proportional to 21,550 and 46,382 is: 99,827.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,550 : 46,382 = 46,382 : x
  2. Step 2: Convert to fraction form
    21,550/46,382 = 46,382/x
  3. Step 3: Cross multiply
    21,550x = 46,382 × 46,382
  4. Step 4: Simplify right side
    21,550x = 2,151,289,924
  5. Step 5: Solve for x
    x = 2,151,289,924/21,550
  6. Step 6: Final answer
    x = 99,827.84

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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.