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Finding the Third Proportional to 24,365.81 and 52,357.64

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Solution

The third proportional to 24,365.81 and 52,357.64 is: 112,506.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,365.81 : 52,357.64 = 52,357.64 : x
  2. Step 2: Convert to fraction form
    24,365.81/52,357.64 = 52,357.64/x
  3. Step 3: Cross multiply
    24,365.81x = 52,357.64 × 52,357.64
  4. Step 4: Simplify right side
    24,365.81x = 2,741,322,531.82
  5. Step 5: Solve for x
    x = 2,741,322,531.82/24,365.81
  6. Step 6: Final answer
    x = 112,506.92

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.