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Finding the Third Proportional to 2,764.13 and 6,145.88

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Solution

The third proportional to 2,764.13 and 6,145.88 is: 13,665.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,764.13 : 6,145.88 = 6,145.88 : x
  2. Step 2: Convert to fraction form
    2,764.13/6,145.88 = 6,145.88/x
  3. Step 3: Cross multiply
    2,764.13x = 6,145.88 × 6,145.88
  4. Step 4: Simplify right side
    2,764.13x = 37,771,779.52
  5. Step 5: Solve for x
    x = 37,771,779.52/2,764.13
  6. Step 6: Final answer
    x = 13,665.00

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.