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Finding the Third Proportional to 9,264.85 and 13,314.22

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Solution

The third proportional to 9,264.85 and 13,314.22 is: 19,133.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,264.85 : 13,314.22 = 13,314.22 : x
  2. Step 2: Convert to fraction form
    9,264.85/13,314.22 = 13,314.22/x
  3. Step 3: Cross multiply
    9,264.85x = 13,314.22 × 13,314.22
  4. Step 4: Simplify right side
    9,264.85x = 177,268,368.91
  5. Step 5: Solve for x
    x = 177,268,368.91/9,264.85
  6. Step 6: Final answer
    x = 19,133.43

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.