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Finding the Third Proportional to 30,069.75 and 64,951.50

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Solution

The third proportional to 30,069.75 and 64,951.50 is: 140,297.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,069.75 : 64,951.50 = 64,951.50 : x
  2. Step 2: Convert to fraction form
    30,069.75/64,951.50 = 64,951.50/x
  3. Step 3: Cross multiply
    30,069.75x = 64,951.50 × 64,951.50
  4. Step 4: Simplify right side
    30,069.75x = 4,218,697,352.25
  5. Step 5: Solve for x
    x = 4,218,697,352.25/30,069.75
  6. Step 6: Final answer
    x = 140,297.05

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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.