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Finding the Third Proportional to 30,907.50 and 66,188.25

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Solution

The third proportional to 30,907.50 and 66,188.25 is: 141,741.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,907.50 : 66,188.25 = 66,188.25 : x
  2. Step 2: Convert to fraction form
    30,907.50/66,188.25 = 66,188.25/x
  3. Step 3: Cross multiply
    30,907.50x = 66,188.25 × 66,188.25
  4. Step 4: Simplify right side
    30,907.50x = 4,380,884,438.06
  5. Step 5: Solve for x
    x = 4,380,884,438.06/30,907.50
  6. Step 6: Final answer
    x = 141,741.79

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.