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Finding the Third Proportional to 11,709.56 and 18,657.84

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Solution

The third proportional to 11,709.56 and 18,657.84 is: 29,729.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,709.56 : 18,657.84 = 18,657.84 : x
  2. Step 2: Convert to fraction form
    11,709.56/18,657.84 = 18,657.84/x
  3. Step 3: Cross multiply
    11,709.56x = 18,657.84 × 18,657.84
  4. Step 4: Simplify right side
    11,709.56x = 348,115,133.40
  5. Step 5: Solve for x
    x = 348,115,133.40/11,709.56
  6. Step 6: Final answer
    x = 29,729.13

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.