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Finding the Third Proportional to 11,378.44 and 17,666.81

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Solution

The third proportional to 11,378.44 and 17,666.81 is: 27,430.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,378.44 : 17,666.81 = 17,666.81 : x
  2. Step 2: Convert to fraction form
    11,378.44/17,666.81 = 17,666.81/x
  3. Step 3: Cross multiply
    11,378.44x = 17,666.81 × 17,666.81
  4. Step 4: Simplify right side
    11,378.44x = 312,116,263.91
  5. Step 5: Solve for x
    x = 312,116,263.91/11,378.44
  6. Step 6: Final answer
    x = 27,430.50

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.