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Finding the Third Proportional to 7,816 and 8,914

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Solution

The third proportional to 7,816 and 8,914 is: 10,166.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,816 : 8,914 = 8,914 : x
  2. Step 2: Convert to fraction form
    7,816/8,914 = 8,914/x
  3. Step 3: Cross multiply
    7,816x = 8,914 × 8,914
  4. Step 4: Simplify right side
    7,816x = 79,459,396
  5. Step 5: Solve for x
    x = 79,459,396/7,816
  6. Step 6: Final answer
    x = 10,166.25

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Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.