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Finding the Third Proportional to 25,845.33 and 52,784.16

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Solution

The third proportional to 25,845.33 and 52,784.16 is: 107,801.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,845.33 : 52,784.16 = 52,784.16 : x
  2. Step 2: Convert to fraction form
    25,845.33/52,784.16 = 52,784.16/x
  3. Step 3: Cross multiply
    25,845.33x = 52,784.16 × 52,784.16
  4. Step 4: Simplify right side
    25,845.33x = 2,786,167,151.02
  5. Step 5: Solve for x
    x = 2,786,167,151.02/25,845.33
  6. Step 6: Final answer
    x = 107,801.58

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.