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Finding the Third Proportional to 14,726.89 and 31,788.86

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Solution

The third proportional to 14,726.89 and 31,788.86 is: 68,618.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,726.89 : 31,788.86 = 31,788.86 : x
  2. Step 2: Convert to fraction form
    14,726.89/31,788.86 = 31,788.86/x
  3. Step 3: Cross multiply
    14,726.89x = 31,788.86 × 31,788.86
  4. Step 4: Simplify right side
    14,726.89x = 1,010,531,704.54
  5. Step 5: Solve for x
    x = 1,010,531,704.54/14,726.89
  6. Step 6: Final answer
    x = 68,618.13

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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.