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Finding the Third Proportional to 24,160.83 and 49,978.99

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Solution

The third proportional to 24,160.83 and 49,978.99 is: 103,386.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,160.83 : 49,978.99 = 49,978.99 : x
  2. Step 2: Convert to fraction form
    24,160.83/49,978.99 = 49,978.99/x
  3. Step 3: Cross multiply
    24,160.83x = 49,978.99 × 49,978.99
  4. Step 4: Simplify right side
    24,160.83x = 2,497,899,660.08
  5. Step 5: Solve for x
    x = 2,497,899,660.08/24,160.83
  6. Step 6: Final answer
    x = 103,386.34

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These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.