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Finding the Third Proportional to 977.91 and 2,037.02

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Solution

The third proportional to 977.91 and 2,037.02 is: 4,243.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    977.91 : 2,037.02 = 2,037.02 : x
  2. Step 2: Convert to fraction form
    977.91/2,037.02 = 2,037.02/x
  3. Step 3: Cross multiply
    977.91x = 2,037.02 × 2,037.02
  4. Step 4: Simplify right side
    977.91x = 4,149,464.48
  5. Step 5: Solve for x
    x = 4,149,464.48/977.91
  6. Step 6: Final answer
    x = 4,243.21

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.