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Finding the Third Proportional to 30,697.31 and 66,117.94

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Solution

The third proportional to 30,697.31 and 66,117.94 is: 142,409.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,697.31 : 66,117.94 = 66,117.94 : x
  2. Step 2: Convert to fraction form
    30,697.31/66,117.94 = 66,117.94/x
  3. Step 3: Cross multiply
    30,697.31x = 66,117.94 × 66,117.94
  4. Step 4: Simplify right side
    30,697.31x = 4,371,581,659.25
  5. Step 5: Solve for x
    x = 4,371,581,659.25/30,697.31
  6. Step 6: Final answer
    x = 142,409.26

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.