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Finding the Third Proportional to 25,199.44 and 52,984.13

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Solution

The third proportional to 25,199.44 and 52,984.13 is: 111,403.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,199.44 : 52,984.13 = 52,984.13 : x
  2. Step 2: Convert to fraction form
    25,199.44/52,984.13 = 52,984.13/x
  3. Step 3: Cross multiply
    25,199.44x = 52,984.13 × 52,984.13
  4. Step 4: Simplify right side
    25,199.44x = 2,807,317,502.02
  5. Step 5: Solve for x
    x = 2,807,317,502.02/25,199.44
  6. Step 6: Final answer
    x = 111,403.97

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.