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Finding the Third Proportional to 14,857.17 and 31,047.05

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Solution

The third proportional to 14,857.17 and 31,047.05 is: 64,879.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,857.17 : 31,047.05 = 31,047.05 : x
  2. Step 2: Convert to fraction form
    14,857.17/31,047.05 = 31,047.05/x
  3. Step 3: Cross multiply
    14,857.17x = 31,047.05 × 31,047.05
  4. Step 4: Simplify right side
    14,857.17x = 963,919,119.66
  5. Step 5: Solve for x
    x = 963,919,119.66/14,857.17
  6. Step 6: Final answer
    x = 64,879.04

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These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.