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Finding the Third Proportional to 35,424.75 and 74,848.31

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Solution

The third proportional to 35,424.75 and 74,848.31 is: 158,145.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,424.75 : 74,848.31 = 74,848.31 : x
  2. Step 2: Convert to fraction form
    35,424.75/74,848.31 = 74,848.31/x
  3. Step 3: Cross multiply
    35,424.75x = 74,848.31 × 74,848.31
  4. Step 4: Simplify right side
    35,424.75x = 5,602,269,884.10
  5. Step 5: Solve for x
    x = 5,602,269,884.10/35,424.75
  6. Step 6: Final answer
    x = 158,145.64

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