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Finding the Third Proportional to 12,349.41 and 26,642.81

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Solution

The third proportional to 12,349.41 and 26,642.81 is: 57,479.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,349.41 : 26,642.81 = 26,642.81 : x
  2. Step 2: Convert to fraction form
    12,349.41/26,642.81 = 26,642.81/x
  3. Step 3: Cross multiply
    12,349.41x = 26,642.81 × 26,642.81
  4. Step 4: Simplify right side
    12,349.41x = 709,839,457.91
  5. Step 5: Solve for x
    x = 709,839,457.91/12,349.41
  6. Step 6: Final answer
    x = 57,479.64

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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.