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Finding the Third Proportional to 13,961.38 and 30,109.50

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Solution

The third proportional to 13,961.38 and 30,109.50 is: 64,935.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,961.38 : 30,109.50 = 30,109.50 : x
  2. Step 2: Convert to fraction form
    13,961.38/30,109.50 = 30,109.50/x
  3. Step 3: Cross multiply
    13,961.38x = 30,109.50 × 30,109.50
  4. Step 4: Simplify right side
    13,961.38x = 906,581,990.25
  5. Step 5: Solve for x
    x = 906,581,990.25/13,961.38
  6. Step 6: Final answer
    x = 64,935.01

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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.