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Finding the Third Proportional to 19,148.06 and 29,529.56

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Solution

The third proportional to 19,148.06 and 29,529.56 is: 45,539.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,148.06 : 29,529.56 = 29,529.56 : x
  2. Step 2: Convert to fraction form
    19,148.06/29,529.56 = 29,529.56/x
  3. Step 3: Cross multiply
    19,148.06x = 29,529.56 × 29,529.56
  4. Step 4: Simplify right side
    19,148.06x = 871,995,061.44
  5. Step 5: Solve for x
    x = 871,995,061.44/19,148.06
  6. Step 6: Final answer
    x = 45,539.60

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.