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Finding the Third Proportional to 35,245.13 and 74,419.88

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Solution

The third proportional to 35,245.13 and 74,419.88 is: 157,137.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,245.13 : 74,419.88 = 74,419.88 : x
  2. Step 2: Convert to fraction form
    35,245.13/74,419.88 = 74,419.88/x
  3. Step 3: Cross multiply
    35,245.13x = 74,419.88 × 74,419.88
  4. Step 4: Simplify right side
    35,245.13x = 5,538,317,795.02
  5. Step 5: Solve for x
    x = 5,538,317,795.02/35,245.13
  6. Step 6: Final answer
    x = 157,137.13

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.