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Finding the Third Proportional to 23,464.69 and 36,351.28

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Solution

The third proportional to 23,464.69 and 36,351.28 is: 56,315.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,464.69 : 36,351.28 = 36,351.28 : x
  2. Step 2: Convert to fraction form
    23,464.69/36,351.28 = 36,351.28/x
  3. Step 3: Cross multiply
    23,464.69x = 36,351.28 × 36,351.28
  4. Step 4: Simplify right side
    23,464.69x = 1,321,415,648.52
  5. Step 5: Solve for x
    x = 1,321,415,648.52/23,464.69
  6. Step 6: Final answer
    x = 56,315.08

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.