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Finding the Third Proportional to 8,570.81 and 13,357.41

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Solution

The third proportional to 8,570.81 and 13,357.41 is: 20,817.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,570.81 : 13,357.41 = 13,357.41 : x
  2. Step 2: Convert to fraction form
    8,570.81/13,357.41 = 13,357.41/x
  3. Step 3: Cross multiply
    8,570.81x = 13,357.41 × 13,357.41
  4. Step 4: Simplify right side
    8,570.81x = 178,420,301.73
  5. Step 5: Solve for x
    x = 178,420,301.73/8,570.81
  6. Step 6: Final answer
    x = 20,817.20

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Why These Related Problems?

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