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Finding the Third Proportional to 30,709.13 and 70,834.50

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Solution

The third proportional to 30,709.13 and 70,834.50 is: 163,388.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,709.13 : 70,834.50 = 70,834.50 : x
  2. Step 2: Convert to fraction form
    30,709.13/70,834.50 = 70,834.50/x
  3. Step 3: Cross multiply
    30,709.13x = 70,834.50 × 70,834.50
  4. Step 4: Simplify right side
    30,709.13x = 5,017,526,390.25
  5. Step 5: Solve for x
    x = 5,017,526,390.25/30,709.13
  6. Step 6: Final answer
    x = 163,388.78

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These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.