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Finding the Third Proportional to 2,319.42 and 4,087.81

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Solution

The third proportional to 2,319.42 and 4,087.81 is: 7,204.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,319.42 : 4,087.81 = 4,087.81 : x
  2. Step 2: Convert to fraction form
    2,319.42/4,087.81 = 4,087.81/x
  3. Step 3: Cross multiply
    2,319.42x = 4,087.81 × 4,087.81
  4. Step 4: Simplify right side
    2,319.42x = 16,710,195.07
  5. Step 5: Solve for x
    x = 16,710,195.07/2,319.42
  6. Step 6: Final answer
    x = 7,204.48

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Why These Related Problems?

These problems maintain the same ratio (1.76) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.