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Finding the Third Proportional to 9,292 and 12,998

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Solution

The third proportional to 9,292 and 12,998 is: 18,182.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,292 : 12,998 = 12,998 : x
  2. Step 2: Convert to fraction form
    9,292/12,998 = 12,998/x
  3. Step 3: Cross multiply
    9,292x = 12,998 × 12,998
  4. Step 4: Simplify right side
    9,292x = 168,948,004
  5. Step 5: Solve for x
    x = 168,948,004/9,292
  6. Step 6: Final answer
    x = 18,182.09

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.