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Finding the Third Proportional to 2,762.44 and 5,962.92

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Solution

The third proportional to 2,762.44 and 5,962.92 is: 12,871.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,762.44 : 5,962.92 = 5,962.92 : x
  2. Step 2: Convert to fraction form
    2,762.44/5,962.92 = 5,962.92/x
  3. Step 3: Cross multiply
    2,762.44x = 5,962.92 × 5,962.92
  4. Step 4: Simplify right side
    2,762.44x = 35,556,437.29
  5. Step 5: Solve for x
    x = 35,556,437.29/2,762.44
  6. Step 6: Final answer
    x = 12,871.40

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.