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Finding the Third Proportional to 7,983 and 10,557

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Solution

The third proportional to 7,983 and 10,557 is: 13,960.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,983 : 10,557 = 10,557 : x
  2. Step 2: Convert to fraction form
    7,983/10,557 = 10,557/x
  3. Step 3: Cross multiply
    7,983x = 10,557 × 10,557
  4. Step 4: Simplify right side
    7,983x = 111,450,249
  5. Step 5: Solve for x
    x = 111,450,249/7,983
  6. Step 6: Final answer
    x = 13,960.95

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.