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Finding the Third Proportional to 14,733.77 and 31,926.02

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Solution

The third proportional to 14,733.77 and 31,926.02 is: 69,179.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,733.77 : 31,926.02 = 31,926.02 : x
  2. Step 2: Convert to fraction form
    14,733.77/31,926.02 = 31,926.02/x
  3. Step 3: Cross multiply
    14,733.77x = 31,926.02 × 31,926.02
  4. Step 4: Simplify right side
    14,733.77x = 1,019,270,972.53
  5. Step 5: Solve for x
    x = 1,019,270,972.53/14,733.77
  6. Step 6: Final answer
    x = 69,179.22

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.