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Finding the Third Proportional to 19,535.63 and 29,174.25

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Solution

The third proportional to 19,535.63 and 29,174.25 is: 43,568.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,535.63 : 29,174.25 = 29,174.25 : x
  2. Step 2: Convert to fraction form
    19,535.63/29,174.25 = 29,174.25/x
  3. Step 3: Cross multiply
    19,535.63x = 29,174.25 × 29,174.25
  4. Step 4: Simplify right side
    19,535.63x = 851,136,863.06
  5. Step 5: Solve for x
    x = 851,136,863.06/19,535.63
  6. Step 6: Final answer
    x = 43,568.45

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.