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Finding the Third Proportional to 21,042.38 and 46,043.63

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Solution

The third proportional to 21,042.38 and 46,043.63 is: 100,749.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,042.38 : 46,043.63 = 46,043.63 : x
  2. Step 2: Convert to fraction form
    21,042.38/46,043.63 = 46,043.63/x
  3. Step 3: Cross multiply
    21,042.38x = 46,043.63 × 46,043.63
  4. Step 4: Simplify right side
    21,042.38x = 2,120,015,403.14
  5. Step 5: Solve for x
    x = 2,120,015,403.14/21,042.38
  6. Step 6: Final answer
    x = 100,749.82

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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.