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Finding the Third Proportional to 2,300.91 and 4,984.03

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Solution

The third proportional to 2,300.91 and 4,984.03 is: 10,795.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,300.91 : 4,984.03 = 4,984.03 : x
  2. Step 2: Convert to fraction form
    2,300.91/4,984.03 = 4,984.03/x
  3. Step 3: Cross multiply
    2,300.91x = 4,984.03 × 4,984.03
  4. Step 4: Simplify right side
    2,300.91x = 24,840,567.50
  5. Step 5: Solve for x
    x = 24,840,567.50/2,300.91
  6. Step 6: Final answer
    x = 10,795.99

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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.