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Finding the Third Proportional to 30,785.06 and 67,409.72

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Solution

The third proportional to 30,785.06 and 67,409.72 is: 147,606.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,785.06 : 67,409.72 = 67,409.72 : x
  2. Step 2: Convert to fraction form
    30,785.06/67,409.72 = 67,409.72/x
  3. Step 3: Cross multiply
    30,785.06x = 67,409.72 × 67,409.72
  4. Step 4: Simplify right side
    30,785.06x = 4,544,070,181.95
  5. Step 5: Solve for x
    x = 4,544,070,181.95/30,785.06
  6. Step 6: Final answer
    x = 147,606.33

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.