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Finding the Third Proportional to 8,796 and 10,428

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Solution

The third proportional to 8,796 and 10,428 is: 12,362.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,796 : 10,428 = 10,428 : x
  2. Step 2: Convert to fraction form
    8,796/10,428 = 10,428/x
  3. Step 3: Cross multiply
    8,796x = 10,428 × 10,428
  4. Step 4: Simplify right side
    8,796x = 108,743,184
  5. Step 5: Solve for x
    x = 108,743,184/8,796
  6. Step 6: Final answer
    x = 12,362.80

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Why These Related Problems?

These problems maintain the same ratio (1.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.