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Finding the Third Proportional to 14,061.09 and 30,457.27

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Solution

The third proportional to 14,061.09 and 30,457.27 is: 65,972.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,061.09 : 30,457.27 = 30,457.27 : x
  2. Step 2: Convert to fraction form
    14,061.09/30,457.27 = 30,457.27/x
  3. Step 3: Cross multiply
    14,061.09x = 30,457.27 × 30,457.27
  4. Step 4: Simplify right side
    14,061.09x = 927,645,029.35
  5. Step 5: Solve for x
    x = 927,645,029.35/14,061.09
  6. Step 6: Final answer
    x = 65,972.47

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.