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Finding the Third Proportional to 14,980.78 and 32,780.11

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Solution

The third proportional to 14,980.78 and 32,780.11 is: 71,727.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,980.78 : 32,780.11 = 32,780.11 : x
  2. Step 2: Convert to fraction form
    14,980.78/32,780.11 = 32,780.11/x
  3. Step 3: Cross multiply
    14,980.78x = 32,780.11 × 32,780.11
  4. Step 4: Simplify right side
    14,980.78x = 1,074,535,570.64
  5. Step 5: Solve for x
    x = 1,074,535,570.64/14,980.78
  6. Step 6: Final answer
    x = 71,727.61

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.