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Finding the Third Proportional to 28,577.81 and 38,550.09

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Solution

The third proportional to 28,577.81 and 38,550.09 is: 52,002.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,577.81 : 38,550.09 = 38,550.09 : x
  2. Step 2: Convert to fraction form
    28,577.81/38,550.09 = 38,550.09/x
  3. Step 3: Cross multiply
    28,577.81x = 38,550.09 × 38,550.09
  4. Step 4: Simplify right side
    28,577.81x = 1,486,109,728.13
  5. Step 5: Solve for x
    x = 1,486,109,728.13/28,577.81
  6. Step 6: Final answer
    x = 52,002.22

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.