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Finding the Third Proportional to 21,340.13 and 49,851.56

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Solution

The third proportional to 21,340.13 and 49,851.56 is: 116,455.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,340.13 : 49,851.56 = 49,851.56 : x
  2. Step 2: Convert to fraction form
    21,340.13/49,851.56 = 49,851.56/x
  3. Step 3: Cross multiply
    21,340.13x = 49,851.56 × 49,851.56
  4. Step 4: Simplify right side
    21,340.13x = 2,485,178,283.69
  5. Step 5: Solve for x
    x = 2,485,178,283.69/21,340.13
  6. Step 6: Final answer
    x = 116,455.66

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These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.