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Finding the Third Proportional to 9,232.24 and 14,322.59

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Solution

The third proportional to 9,232.24 and 14,322.59 is: 22,219.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,232.24 : 14,322.59 = 14,322.59 : x
  2. Step 2: Convert to fraction form
    9,232.24/14,322.59 = 14,322.59/x
  3. Step 3: Cross multiply
    9,232.24x = 14,322.59 × 14,322.59
  4. Step 4: Simplify right side
    9,232.24x = 205,136,467.94
  5. Step 5: Solve for x
    x = 205,136,467.94/9,232.24
  6. Step 6: Final answer
    x = 22,219.57

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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.