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Finding the Third Proportional to 9,810 and 11,808

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Solution

The third proportional to 9,810 and 11,808 is: 14,212.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,810 : 11,808 = 11,808 : x
  2. Step 2: Convert to fraction form
    9,810/11,808 = 11,808/x
  3. Step 3: Cross multiply
    9,810x = 11,808 × 11,808
  4. Step 4: Simplify right side
    9,810x = 139,428,864
  5. Step 5: Solve for x
    x = 139,428,864/9,810
  6. Step 6: Final answer
    x = 14,212.93

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Why These Related Problems?

These problems maintain the same ratio (1.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.