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Finding the Third Proportional to 14,600.25 and 31,498.88

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Solution

The third proportional to 14,600.25 and 31,498.88 is: 67,956.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,600.25 : 31,498.88 = 31,498.88 : x
  2. Step 2: Convert to fraction form
    14,600.25/31,498.88 = 31,498.88/x
  3. Step 3: Cross multiply
    14,600.25x = 31,498.88 × 31,498.88
  4. Step 4: Simplify right side
    14,600.25x = 992,179,126.27
  5. Step 5: Solve for x
    x = 992,179,126.27/14,600.25
  6. Step 6: Final answer
    x = 67,956.31

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.