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Finding the Third Proportional to 13,213.13 and 28,944.84

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Solution

The third proportional to 13,213.13 and 28,944.84 is: 63,406.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,213.13 : 28,944.84 = 28,944.84 : x
  2. Step 2: Convert to fraction form
    13,213.13/28,944.84 = 28,944.84/x
  3. Step 3: Cross multiply
    13,213.13x = 28,944.84 × 28,944.84
  4. Step 4: Simplify right side
    13,213.13x = 837,803,979.71
  5. Step 5: Solve for x
    x = 837,803,979.71/13,213.13
  6. Step 6: Final answer
    x = 63,406.95

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.