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Finding the Third Proportional to 21,278.25 and 46,285.88

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Solution

The third proportional to 21,278.25 and 46,285.88 is: 100,684.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,278.25 : 46,285.88 = 46,285.88 : x
  2. Step 2: Convert to fraction form
    21,278.25/46,285.88 = 46,285.88/x
  3. Step 3: Cross multiply
    21,278.25x = 46,285.88 × 46,285.88
  4. Step 4: Simplify right side
    21,278.25x = 2,142,382,224.52
  5. Step 5: Solve for x
    x = 2,142,382,224.52/21,278.25
  6. Step 6: Final answer
    x = 100,684.14

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.