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Finding the Third Proportional to 14,557.22 and 22,809.73

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Solution

The third proportional to 14,557.22 and 22,809.73 is: 35,740.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,557.22 : 22,809.73 = 22,809.73 : x
  2. Step 2: Convert to fraction form
    14,557.22/22,809.73 = 22,809.73/x
  3. Step 3: Cross multiply
    14,557.22x = 22,809.73 × 22,809.73
  4. Step 4: Simplify right side
    14,557.22x = 520,283,625.86
  5. Step 5: Solve for x
    x = 520,283,625.86/14,557.22
  6. Step 6: Final answer
    x = 35,740.59

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.