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Finding the Third Proportional to 2,090.81 and 4,357.13

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Solution

The third proportional to 2,090.81 and 4,357.13 is: 9,079.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,090.81 : 4,357.13 = 4,357.13 : x
  2. Step 2: Convert to fraction form
    2,090.81/4,357.13 = 4,357.13/x
  3. Step 3: Cross multiply
    2,090.81x = 4,357.13 × 4,357.13
  4. Step 4: Simplify right side
    2,090.81x = 18,984,538.27
  5. Step 5: Solve for x
    x = 18,984,538.27/2,090.81
  6. Step 6: Final answer
    x = 9,079.98

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.