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Finding the Third Proportional to 19,505.25 and 29,395.13

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Solution

The third proportional to 19,505.25 and 29,395.13 is: 44,299.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,505.25 : 29,395.13 = 29,395.13 : x
  2. Step 2: Convert to fraction form
    19,505.25/29,395.13 = 29,395.13/x
  3. Step 3: Cross multiply
    19,505.25x = 29,395.13 × 29,395.13
  4. Step 4: Simplify right side
    19,505.25x = 864,073,373.77
  5. Step 5: Solve for x
    x = 864,073,373.77/19,505.25
  6. Step 6: Final answer
    x = 44,299.53

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.