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Finding the Third Proportional to 977.06 and 1,971.42

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Solution

The third proportional to 977.06 and 1,971.42 is: 3,977.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    977.06 : 1,971.42 = 1,971.42 : x
  2. Step 2: Convert to fraction form
    977.06/1,971.42 = 1,971.42/x
  3. Step 3: Cross multiply
    977.06x = 1,971.42 × 1,971.42
  4. Step 4: Simplify right side
    977.06x = 3,886,504.21
  5. Step 5: Solve for x
    x = 3,886,504.21/977.06
  6. Step 6: Final answer
    x = 3,977.74

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Why These Related Problems?

These problems maintain the same ratio (2.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.