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Finding the Third Proportional to 30,785.75 and 66,483.50

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Solution

The third proportional to 30,785.75 and 66,483.50 is: 143,574.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,785.75 : 66,483.50 = 66,483.50 : x
  2. Step 2: Convert to fraction form
    30,785.75/66,483.50 = 66,483.50/x
  3. Step 3: Cross multiply
    30,785.75x = 66,483.50 × 66,483.50
  4. Step 4: Simplify right side
    30,785.75x = 4,420,055,772.25
  5. Step 5: Solve for x
    x = 4,420,055,772.25/30,785.75
  6. Step 6: Final answer
    x = 143,574.73

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.