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Finding the Third Proportional to 30,300.75 and 64,489.50

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Solution

The third proportional to 30,300.75 and 64,489.50 is: 137,253.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,300.75 : 64,489.50 = 64,489.50 : x
  2. Step 2: Convert to fraction form
    30,300.75/64,489.50 = 64,489.50/x
  3. Step 3: Cross multiply
    30,300.75x = 64,489.50 × 64,489.50
  4. Step 4: Simplify right side
    30,300.75x = 4,158,895,610.25
  5. Step 5: Solve for x
    x = 4,158,895,610.25/30,300.75
  6. Step 6: Final answer
    x = 137,253.88

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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.