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Finding the Third Proportional to 36,281.25 and 56,040

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Solution

The third proportional to 36,281.25 and 56,040 is: 86,559.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,281.25 : 56,040 = 56,040 : x
  2. Step 2: Convert to fraction form
    36,281.25/56,040 = 56,040/x
  3. Step 3: Cross multiply
    36,281.25x = 56,040 × 56,040
  4. Step 4: Simplify right side
    36,281.25x = 3,140,481,600
  5. Step 5: Solve for x
    x = 3,140,481,600/36,281.25
  6. Step 6: Final answer
    x = 86,559.36

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.