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Finding the Third Proportional to 30,322.69 and 66,077.44

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Solution

The third proportional to 30,322.69 and 66,077.44 is: 143,992.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,322.69 : 66,077.44 = 66,077.44 : x
  2. Step 2: Convert to fraction form
    30,322.69/66,077.44 = 66,077.44/x
  3. Step 3: Cross multiply
    30,322.69x = 66,077.44 × 66,077.44
  4. Step 4: Simplify right side
    30,322.69x = 4,366,227,746.57
  5. Step 5: Solve for x
    x = 4,366,227,746.57/30,322.69
  6. Step 6: Final answer
    x = 143,992.11

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.