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Finding the Third Proportional to 19,103.75 and 29,521

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Solution

The third proportional to 19,103.75 and 29,521 is: 45,618.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,103.75 : 29,521 = 29,521 : x
  2. Step 2: Convert to fraction form
    19,103.75/29,521 = 29,521/x
  3. Step 3: Cross multiply
    19,103.75x = 29,521 × 29,521
  4. Step 4: Simplify right side
    19,103.75x = 871,489,441
  5. Step 5: Solve for x
    x = 871,489,441/19,103.75
  6. Step 6: Final answer
    x = 45,618.76

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