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Finding the Third Proportional to 25,616.25 and 56,801.25

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Solution

The third proportional to 25,616.25 and 56,801.25 is: 125,950.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,616.25 : 56,801.25 = 56,801.25 : x
  2. Step 2: Convert to fraction form
    25,616.25/56,801.25 = 56,801.25/x
  3. Step 3: Cross multiply
    25,616.25x = 56,801.25 × 56,801.25
  4. Step 4: Simplify right side
    25,616.25x = 3,226,382,001.56
  5. Step 5: Solve for x
    x = 3,226,382,001.56/25,616.25
  6. Step 6: Final answer
    x = 125,950.60

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.