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Finding the Third Proportional to 9,009.98 and 13,856.70

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Solution

The third proportional to 9,009.98 and 13,856.70 is: 21,310.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,009.98 : 13,856.70 = 13,856.70 : x
  2. Step 2: Convert to fraction form
    9,009.98/13,856.70 = 13,856.70/x
  3. Step 3: Cross multiply
    9,009.98x = 13,856.70 × 13,856.70
  4. Step 4: Simplify right side
    9,009.98x = 192,008,004.98
  5. Step 5: Solve for x
    x = 192,008,004.98/9,009.98
  6. Step 6: Final answer
    x = 21,310.58

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.