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Finding the Third Proportional to 5,730.75 and 13,145.63

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Solution

The third proportional to 5,730.75 and 13,145.63 is: 30,154.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,730.75 : 13,145.63 = 13,145.63 : x
  2. Step 2: Convert to fraction form
    5,730.75/13,145.63 = 13,145.63/x
  3. Step 3: Cross multiply
    5,730.75x = 13,145.63 × 13,145.63
  4. Step 4: Simplify right side
    5,730.75x = 172,807,456.64
  5. Step 5: Solve for x
    x = 172,807,456.64/5,730.75
  6. Step 6: Final answer
    x = 30,154.42

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These problems maintain the same ratio (2.29) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.