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Finding the Third Proportional to 14,257.13 and 34,670.81

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Solution

The third proportional to 14,257.13 and 34,670.81 is: 84,313.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,257.13 : 34,670.81 = 34,670.81 : x
  2. Step 2: Convert to fraction form
    14,257.13/34,670.81 = 34,670.81/x
  3. Step 3: Cross multiply
    14,257.13x = 34,670.81 × 34,670.81
  4. Step 4: Simplify right side
    14,257.13x = 1,202,065,239.41
  5. Step 5: Solve for x
    x = 1,202,065,239.41/14,257.13
  6. Step 6: Final answer
    x = 84,313.30

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These problems maintain the same ratio (2.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.