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Finding the Third Proportional to 6,357.92 and 13,810.42

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Solution

The third proportional to 6,357.92 and 13,810.42 is: 29,998.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,357.92 : 13,810.42 = 13,810.42 : x
  2. Step 2: Convert to fraction form
    6,357.92/13,810.42 = 13,810.42/x
  3. Step 3: Cross multiply
    6,357.92x = 13,810.42 × 13,810.42
  4. Step 4: Simplify right side
    6,357.92x = 190,727,725.39
  5. Step 5: Solve for x
    x = 190,727,725.39/6,357.92
  6. Step 6: Final answer
    x = 29,998.45

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.