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Finding the Third Proportional to 14,446.88 and 31,049.25

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Solution

The third proportional to 14,446.88 and 31,049.25 is: 66,731.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,446.88 : 31,049.25 = 31,049.25 : x
  2. Step 2: Convert to fraction form
    14,446.88/31,049.25 = 31,049.25/x
  3. Step 3: Cross multiply
    14,446.88x = 31,049.25 × 31,049.25
  4. Step 4: Simplify right side
    14,446.88x = 964,055,925.56
  5. Step 5: Solve for x
    x = 964,055,925.56/14,446.88
  6. Step 6: Final answer
    x = 66,731.10

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.