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Finding the Third Proportional to 14,583.32 and 31,806.42

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Solution

The third proportional to 14,583.32 and 31,806.42 is: 69,370.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,583.32 : 31,806.42 = 31,806.42 : x
  2. Step 2: Convert to fraction form
    14,583.32/31,806.42 = 31,806.42/x
  3. Step 3: Cross multiply
    14,583.32x = 31,806.42 × 31,806.42
  4. Step 4: Simplify right side
    14,583.32x = 1,011,648,472.49
  5. Step 5: Solve for x
    x = 1,011,648,472.49/14,583.32
  6. Step 6: Final answer
    x = 69,370.23

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.