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Finding the Third Proportional to 2,300.43 and 2,807.31

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Solution

The third proportional to 2,300.43 and 2,807.31 is: 3,425.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,300.43 : 2,807.31 = 2,807.31 : x
  2. Step 2: Convert to fraction form
    2,300.43/2,807.31 = 2,807.31/x
  3. Step 3: Cross multiply
    2,300.43x = 2,807.31 × 2,807.31
  4. Step 4: Simplify right side
    2,300.43x = 7,881,014.44
  5. Step 5: Solve for x
    x = 7,881,014.44/2,300.43
  6. Step 6: Final answer
    x = 3,425.89

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These problems maintain the same ratio (1.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.