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Finding the Third Proportional to 1,979.44 and 3,038.77

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Solution

The third proportional to 1,979.44 and 3,038.77 is: 4,665.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,979.44 : 3,038.77 = 3,038.77 : x
  2. Step 2: Convert to fraction form
    1,979.44/3,038.77 = 3,038.77/x
  3. Step 3: Cross multiply
    1,979.44x = 3,038.77 × 3,038.77
  4. Step 4: Simplify right side
    1,979.44x = 9,234,096.52
  5. Step 5: Solve for x
    x = 9,234,096.52/1,979.44
  6. Step 6: Final answer
    x = 4,665.01

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.