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Finding the Third Proportional to 13,378.29 and 20,833.45

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Solution

The third proportional to 13,378.29 and 20,833.45 is: 32,443.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,378.29 : 20,833.45 = 20,833.45 : x
  2. Step 2: Convert to fraction form
    13,378.29/20,833.45 = 20,833.45/x
  3. Step 3: Cross multiply
    13,378.29x = 20,833.45 × 20,833.45
  4. Step 4: Simplify right side
    13,378.29x = 434,032,769.11
  5. Step 5: Solve for x
    x = 434,032,769.11/13,378.29
  6. Step 6: Final answer
    x = 32,443.07

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.