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Finding the Third Proportional to 11,264.06 and 14,607.84

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Solution

The third proportional to 11,264.06 and 14,607.84 is: 18,944.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,264.06 : 14,607.84 = 14,607.84 : x
  2. Step 2: Convert to fraction form
    11,264.06/14,607.84 = 14,607.84/x
  3. Step 3: Cross multiply
    11,264.06x = 14,607.84 × 14,607.84
  4. Step 4: Simplify right side
    11,264.06x = 213,389,099.02
  5. Step 5: Solve for x
    x = 213,389,099.02/11,264.06
  6. Step 6: Final answer
    x = 18,944.24

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.