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Finding the Third Proportional to 13,404.09 and 29,142.84

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Solution

The third proportional to 13,404.09 and 29,142.84 is: 63,361.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,404.09 : 29,142.84 = 29,142.84 : x
  2. Step 2: Convert to fraction form
    13,404.09/29,142.84 = 29,142.84/x
  3. Step 3: Cross multiply
    13,404.09x = 29,142.84 × 29,142.84
  4. Step 4: Simplify right side
    13,404.09x = 849,305,341.84
  5. Step 5: Solve for x
    x = 849,305,341.84/13,404.09
  6. Step 6: Final answer
    x = 63,361.64

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.