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Finding the Third Proportional to 7,808 and 8,768

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Solution

The third proportional to 7,808 and 8,768 is: 9,846.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,808 : 8,768 = 8,768 : x
  2. Step 2: Convert to fraction form
    7,808/8,768 = 8,768/x
  3. Step 3: Cross multiply
    7,808x = 8,768 × 8,768
  4. Step 4: Simplify right side
    7,808x = 76,877,824
  5. Step 5: Solve for x
    x = 76,877,824/7,808
  6. Step 6: Final answer
    x = 9,846.03

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Why These Related Problems?

These problems maintain the same ratio (1.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.