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Finding the Third Proportional to 30,548.81 and 65,129.91

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Solution

The third proportional to 30,548.81 and 65,129.91 is: 138,856.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,548.81 : 65,129.91 = 65,129.91 : x
  2. Step 2: Convert to fraction form
    30,548.81/65,129.91 = 65,129.91/x
  3. Step 3: Cross multiply
    30,548.81x = 65,129.91 × 65,129.91
  4. Step 4: Simplify right side
    30,548.81x = 4,241,904,688.13
  5. Step 5: Solve for x
    x = 4,241,904,688.13/30,548.81
  6. Step 6: Final answer
    x = 138,856.61

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.