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Finding the Third Proportional to 9,507.38 and 14,261.06

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Solution

The third proportional to 9,507.38 and 14,261.06 is: 21,391.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,507.38 : 14,261.06 = 14,261.06 : x
  2. Step 2: Convert to fraction form
    9,507.38/14,261.06 = 14,261.06/x
  3. Step 3: Cross multiply
    9,507.38x = 14,261.06 × 14,261.06
  4. Step 4: Simplify right side
    9,507.38x = 203,377,903.63
  5. Step 5: Solve for x
    x = 203,377,903.63/9,507.38
  6. Step 6: Final answer
    x = 21,391.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.