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Finding the Third Proportional to 21,142.88 and 46,470.69

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Solution

The third proportional to 21,142.88 and 46,470.69 is: 102,139.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,142.88 : 46,470.69 = 46,470.69 : x
  2. Step 2: Convert to fraction form
    21,142.88/46,470.69 = 46,470.69/x
  3. Step 3: Cross multiply
    21,142.88x = 46,470.69 × 46,470.69
  4. Step 4: Simplify right side
    21,142.88x = 2,159,524,796.72
  5. Step 5: Solve for x
    x = 2,159,524,796.72/21,142.88
  6. Step 6: Final answer
    x = 102,139.60

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.