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Finding the Third Proportional to 35,424.84 and 74,848.64

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Solution

The third proportional to 35,424.84 and 74,848.64 is: 158,146.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,424.84 : 74,848.64 = 74,848.64 : x
  2. Step 2: Convert to fraction form
    35,424.84/74,848.64 = 74,848.64/x
  3. Step 3: Cross multiply
    35,424.84x = 74,848.64 × 74,848.64
  4. Step 4: Simplify right side
    35,424.84x = 5,602,319,003.41
  5. Step 5: Solve for x
    x = 5,602,319,003.41/35,424.84
  6. Step 6: Final answer
    x = 158,146.61

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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.