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Finding the Third Proportional to 2,714.77 and 4,036.08

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Solution

The third proportional to 2,714.77 and 4,036.08 is: 6,000.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,714.77 : 4,036.08 = 4,036.08 : x
  2. Step 2: Convert to fraction form
    2,714.77/4,036.08 = 4,036.08/x
  3. Step 3: Cross multiply
    2,714.77x = 4,036.08 × 4,036.08
  4. Step 4: Simplify right side
    2,714.77x = 16,289,926.63
  5. Step 5: Solve for x
    x = 16,289,926.63/2,714.77
  6. Step 6: Final answer
    x = 6,000.49

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.