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Finding the Third Proportional to 14,484.38 and 31,736.81

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Solution

The third proportional to 14,484.38 and 31,736.81 is: 69,538.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,484.38 : 31,736.81 = 31,736.81 : x
  2. Step 2: Convert to fraction form
    14,484.38/31,736.81 = 31,736.81/x
  3. Step 3: Cross multiply
    14,484.38x = 31,736.81 × 31,736.81
  4. Step 4: Simplify right side
    14,484.38x = 1,007,225,267.66
  5. Step 5: Solve for x
    x = 1,007,225,267.66/14,484.38
  6. Step 6: Final answer
    x = 69,538.75

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.