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Finding the Third Proportional to 14,195.13 and 29,861.50

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Solution

The third proportional to 14,195.13 and 29,861.50 is: 62,817.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,195.13 : 29,861.50 = 29,861.50 : x
  2. Step 2: Convert to fraction form
    14,195.13/29,861.50 = 29,861.50/x
  3. Step 3: Cross multiply
    14,195.13x = 29,861.50 × 29,861.50
  4. Step 4: Simplify right side
    14,195.13x = 891,709,182.25
  5. Step 5: Solve for x
    x = 891,709,182.25/14,195.13
  6. Step 6: Final answer
    x = 62,817.99

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.