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Finding the Third Proportional to 977.94 and 2,036.88

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Solution

The third proportional to 977.94 and 2,036.88 is: 4,242.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    977.94 : 2,036.88 = 2,036.88 : x
  2. Step 2: Convert to fraction form
    977.94/2,036.88 = 2,036.88/x
  3. Step 3: Cross multiply
    977.94x = 2,036.88 × 2,036.88
  4. Step 4: Simplify right side
    977.94x = 4,148,859.77
  5. Step 5: Solve for x
    x = 4,148,859.77/977.94
  6. Step 6: Final answer
    x = 4,242.46

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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.