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Finding the Third Proportional to 9,437.13 and 13,226.41

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Solution

The third proportional to 9,437.13 and 13,226.41 is: 18,537.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,437.13 : 13,226.41 = 13,226.41 : x
  2. Step 2: Convert to fraction form
    9,437.13/13,226.41 = 13,226.41/x
  3. Step 3: Cross multiply
    9,437.13x = 13,226.41 × 13,226.41
  4. Step 4: Simplify right side
    9,437.13x = 174,938,028.95
  5. Step 5: Solve for x
    x = 174,938,028.95/9,437.13
  6. Step 6: Final answer
    x = 18,537.20

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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.