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Finding the Third Proportional to 14,734.50 and 31,929

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Solution

The third proportional to 14,734.50 and 31,929 is: 69,188.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,734.50 : 31,929 = 31,929 : x
  2. Step 2: Convert to fraction form
    14,734.50/31,929 = 31,929/x
  3. Step 3: Cross multiply
    14,734.50x = 31,929 × 31,929
  4. Step 4: Simplify right side
    14,734.50x = 1,019,461,041
  5. Step 5: Solve for x
    x = 1,019,461,041/14,734.50
  6. Step 6: Final answer
    x = 69,188.71

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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.