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Finding the Third Proportional to 13,663.69 and 28,372.78

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Solution

The third proportional to 13,663.69 and 28,372.78 is: 58,916.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,663.69 : 28,372.78 = 28,372.78 : x
  2. Step 2: Convert to fraction form
    13,663.69/28,372.78 = 28,372.78/x
  3. Step 3: Cross multiply
    13,663.69x = 28,372.78 × 28,372.78
  4. Step 4: Simplify right side
    13,663.69x = 805,014,715.86
  5. Step 5: Solve for x
    x = 805,014,715.86/13,663.69
  6. Step 6: Final answer
    x = 58,916.36

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.