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Finding the Third Proportional to 19,232.44 and 29,521.34

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Solution

The third proportional to 19,232.44 and 29,521.34 is: 45,314.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,232.44 : 29,521.34 = 29,521.34 : x
  2. Step 2: Convert to fraction form
    19,232.44/29,521.34 = 29,521.34/x
  3. Step 3: Cross multiply
    19,232.44x = 29,521.34 × 29,521.34
  4. Step 4: Simplify right side
    19,232.44x = 871,509,275.53
  5. Step 5: Solve for x
    x = 871,509,275.53/19,232.44
  6. Step 6: Final answer
    x = 45,314.55

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.