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Finding the Third Proportional to 14,558.91 and 31,194.07

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Solution

The third proportional to 14,558.91 and 31,194.07 is: 66,836.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,558.91 : 31,194.07 = 31,194.07 : x
  2. Step 2: Convert to fraction form
    14,558.91/31,194.07 = 31,194.07/x
  3. Step 3: Cross multiply
    14,558.91x = 31,194.07 × 31,194.07
  4. Step 4: Simplify right side
    14,558.91x = 973,070,022.66
  5. Step 5: Solve for x
    x = 973,070,022.66/14,558.91
  6. Step 6: Final answer
    x = 66,836.75

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.