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Finding the Third Proportional to 14,572.41 and 31,471.03

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Solution

The third proportional to 14,572.41 and 31,471.03 is: 67,965.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,572.41 : 31,471.03 = 31,471.03 : x
  2. Step 2: Convert to fraction form
    14,572.41/31,471.03 = 31,471.03/x
  3. Step 3: Cross multiply
    14,572.41x = 31,471.03 × 31,471.03
  4. Step 4: Simplify right side
    14,572.41x = 990,425,807.94
  5. Step 5: Solve for x
    x = 990,425,807.94/14,572.41
  6. Step 6: Final answer
    x = 67,965.84

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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.