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Finding the Third Proportional to 977 and 1,524

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Solution

The third proportional to 977 and 1,524 is: 2,377.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    977 : 1,524 = 1,524 : x
  2. Step 2: Convert to fraction form
    977/1,524 = 1,524/x
  3. Step 3: Cross multiply
    977x = 1,524 × 1,524
  4. Step 4: Simplify right side
    977x = 2,322,576
  5. Step 5: Solve for x
    x = 2,322,576/977
  6. Step 6: Final answer
    x = 2,377.25

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.