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Finding the Third Proportional to 13,574.81 and 28,380.38

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Solution

The third proportional to 13,574.81 and 28,380.38 is: 59,333.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,574.81 : 28,380.38 = 28,380.38 : x
  2. Step 2: Convert to fraction form
    13,574.81/28,380.38 = 28,380.38/x
  3. Step 3: Cross multiply
    13,574.81x = 28,380.38 × 28,380.38
  4. Step 4: Simplify right side
    13,574.81x = 805,445,685.14
  5. Step 5: Solve for x
    x = 805,445,685.14/13,574.81
  6. Step 6: Final answer
    x = 59,333.84

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.