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Finding the Third Proportional to 30,848.06 and 64,029.94

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Solution

The third proportional to 30,848.06 and 64,029.94 is: 132,904.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,848.06 : 64,029.94 = 64,029.94 : x
  2. Step 2: Convert to fraction form
    30,848.06/64,029.94 = 64,029.94/x
  3. Step 3: Cross multiply
    30,848.06x = 64,029.94 × 64,029.94
  4. Step 4: Simplify right side
    30,848.06x = 4,099,832,896.25
  5. Step 5: Solve for x
    x = 4,099,832,896.25/30,848.06
  6. Step 6: Final answer
    x = 132,904.06

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.