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Finding the Third Proportional to 977 and 2,173

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Solution

The third proportional to 977 and 2,173 is: 4,833.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    977 : 2,173 = 2,173 : x
  2. Step 2: Convert to fraction form
    977/2,173 = 2,173/x
  3. Step 3: Cross multiply
    977x = 2,173 × 2,173
  4. Step 4: Simplify right side
    977x = 4,721,929
  5. Step 5: Solve for x
    x = 4,721,929/977
  6. Step 6: Final answer
    x = 4,833.09

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.