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Finding the Third Proportional to 8,973.28 and 12,574.41

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Solution

The third proportional to 8,973.28 and 12,574.41 is: 17,620.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,973.28 : 12,574.41 = 12,574.41 : x
  2. Step 2: Convert to fraction form
    8,973.28/12,574.41 = 12,574.41/x
  3. Step 3: Cross multiply
    8,973.28x = 12,574.41 × 12,574.41
  4. Step 4: Simplify right side
    8,973.28x = 158,115,692.54
  5. Step 5: Solve for x
    x = 158,115,692.54/8,973.28
  6. Step 6: Final answer
    x = 17,620.72

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.