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Finding the Third Proportional to 13,519.13 and 29,318.63

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Solution

The third proportional to 13,519.13 and 29,318.63 is: 63,582.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,519.13 : 29,318.63 = 29,318.63 : x
  2. Step 2: Convert to fraction form
    13,519.13/29,318.63 = 29,318.63/x
  3. Step 3: Cross multiply
    13,519.13x = 29,318.63 × 29,318.63
  4. Step 4: Simplify right side
    13,519.13x = 859,581,771.89
  5. Step 5: Solve for x
    x = 859,581,771.89/13,519.13
  6. Step 6: Final answer
    x = 63,582.65

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.