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Finding the Third Proportional to 11,306 and 12,998

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Solution

The third proportional to 11,306 and 12,998 is: 14,943.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,306 : 12,998 = 12,998 : x
  2. Step 2: Convert to fraction form
    11,306/12,998 = 12,998/x
  3. Step 3: Cross multiply
    11,306x = 12,998 × 12,998
  4. Step 4: Simplify right side
    11,306x = 168,948,004
  5. Step 5: Solve for x
    x = 168,948,004/11,306
  6. Step 6: Final answer
    x = 14,943.22

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Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.