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Finding the Third Proportional to 19,230.75 and 29,520.28

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Solution

The third proportional to 19,230.75 and 29,520.28 is: 45,315.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,230.75 : 29,520.28 = 29,520.28 : x
  2. Step 2: Convert to fraction form
    19,230.75/29,520.28 = 29,520.28/x
  3. Step 3: Cross multiply
    19,230.75x = 29,520.28 × 29,520.28
  4. Step 4: Simplify right side
    19,230.75x = 871,447,005.08
  5. Step 5: Solve for x
    x = 871,447,005.08/19,230.75
  6. Step 6: Final answer
    x = 45,315.29

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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.