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Finding the Third Proportional to 24,284.81 and 53,087.91

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Solution

The third proportional to 24,284.81 and 53,087.91 is: 116,053.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,284.81 : 53,087.91 = 53,087.91 : x
  2. Step 2: Convert to fraction form
    24,284.81/53,087.91 = 53,087.91/x
  3. Step 3: Cross multiply
    24,284.81x = 53,087.91 × 53,087.91
  4. Step 4: Simplify right side
    24,284.81x = 2,818,325,790.01
  5. Step 5: Solve for x
    x = 2,818,325,790.01/24,284.81
  6. Step 6: Final answer
    x = 116,053.02

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.