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Finding the Third Proportional to 14,608.69 and 31,780.69

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Solution

The third proportional to 14,608.69 and 31,780.69 is: 69,137.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,608.69 : 31,780.69 = 31,780.69 : x
  2. Step 2: Convert to fraction form
    14,608.69/31,780.69 = 31,780.69/x
  3. Step 3: Cross multiply
    14,608.69x = 31,780.69 × 31,780.69
  4. Step 4: Simplify right side
    14,608.69x = 1,010,012,097.97
  5. Step 5: Solve for x
    x = 1,010,012,097.97/14,608.69
  6. Step 6: Final answer
    x = 69,137.77

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.