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Finding the Third Proportional to 14,788.83 and 22,337.65

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Solution

The third proportional to 14,788.83 and 22,337.65 is: 33,739.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,788.83 : 22,337.65 = 22,337.65 : x
  2. Step 2: Convert to fraction form
    14,788.83/22,337.65 = 22,337.65/x
  3. Step 3: Cross multiply
    14,788.83x = 22,337.65 × 22,337.65
  4. Step 4: Simplify right side
    14,788.83x = 498,970,537.72
  5. Step 5: Solve for x
    x = 498,970,537.72/14,788.83
  6. Step 6: Final answer
    x = 33,739.69

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.