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Finding the Third Proportional to 35,164.13 and 74,003.63

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Solution

The third proportional to 35,164.13 and 74,003.63 is: 155,742.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,164.13 : 74,003.63 = 74,003.63 : x
  2. Step 2: Convert to fraction form
    35,164.13/74,003.63 = 74,003.63/x
  3. Step 3: Cross multiply
    35,164.13x = 74,003.63 × 74,003.63
  4. Step 4: Simplify right side
    35,164.13x = 5,476,536,513.14
  5. Step 5: Solve for x
    x = 5,476,536,513.14/35,164.13
  6. Step 6: Final answer
    x = 155,742.15

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.