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Finding the Third Proportional to 7,974 and 9,297

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Solution

The third proportional to 7,974 and 9,297 is: 10,839.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,974 : 9,297 = 9,297 : x
  2. Step 2: Convert to fraction form
    7,974/9,297 = 9,297/x
  3. Step 3: Cross multiply
    7,974x = 9,297 × 9,297
  4. Step 4: Simplify right side
    7,974x = 86,434,209
  5. Step 5: Solve for x
    x = 86,434,209/7,974
  6. Step 6: Final answer
    x = 10,839.50

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Why These Related Problems?

These problems maintain the same ratio (1.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.