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Finding the Third Proportional to 9,274.22 and 14,381.72

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Solution

The third proportional to 9,274.22 and 14,381.72 is: 22,302.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,274.22 : 14,381.72 = 14,381.72 : x
  2. Step 2: Convert to fraction form
    9,274.22/14,381.72 = 14,381.72/x
  3. Step 3: Cross multiply
    9,274.22x = 14,381.72 × 14,381.72
  4. Step 4: Simplify right side
    9,274.22x = 206,833,834.20
  5. Step 5: Solve for x
    x = 206,833,834.20/9,274.22
  6. Step 6: Final answer
    x = 22,302.02

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.