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Finding the Third Proportional to 11,232.38 and 17,395.88

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Solution

The third proportional to 11,232.38 and 17,395.88 is: 26,941.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,232.38 : 17,395.88 = 17,395.88 : x
  2. Step 2: Convert to fraction form
    11,232.38/17,395.88 = 17,395.88/x
  3. Step 3: Cross multiply
    11,232.38x = 17,395.88 × 17,395.88
  4. Step 4: Simplify right side
    11,232.38x = 302,616,467.02
  5. Step 5: Solve for x
    x = 302,616,467.02/11,232.38
  6. Step 6: Final answer
    x = 26,941.45

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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.