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Finding the Third Proportional to 14,523.05 and 31,810.22

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Solution

The third proportional to 14,523.05 and 31,810.22 is: 69,674.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,523.05 : 31,810.22 = 31,810.22 : x
  2. Step 2: Convert to fraction form
    14,523.05/31,810.22 = 31,810.22/x
  3. Step 3: Cross multiply
    14,523.05x = 31,810.22 × 31,810.22
  4. Step 4: Simplify right side
    14,523.05x = 1,011,890,016.92
  5. Step 5: Solve for x
    x = 1,011,890,016.92/14,523.05
  6. Step 6: Final answer
    x = 69,674.77

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.