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Finding the Third Proportional to 7,712 and 16,802

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Solution

The third proportional to 7,712 and 16,802 is: 36,606.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,712 : 16,802 = 16,802 : x
  2. Step 2: Convert to fraction form
    7,712/16,802 = 16,802/x
  3. Step 3: Cross multiply
    7,712x = 16,802 × 16,802
  4. Step 4: Simplify right side
    7,712x = 282,307,204
  5. Step 5: Solve for x
    x = 282,307,204/7,712
  6. Step 6: Final answer
    x = 36,606.22

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.