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Finding the Third Proportional to 6,788.81 and 14,833.13

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Solution

The third proportional to 6,788.81 and 14,833.13 is: 32,409.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,788.81 : 14,833.13 = 14,833.13 : x
  2. Step 2: Convert to fraction form
    6,788.81/14,833.13 = 14,833.13/x
  3. Step 3: Cross multiply
    6,788.81x = 14,833.13 × 14,833.13
  4. Step 4: Simplify right side
    6,788.81x = 220,021,597.27
  5. Step 5: Solve for x
    x = 220,021,597.27/6,788.81
  6. Step 6: Final answer
    x = 32,409.44

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.