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Finding the Third Proportional to 14,733 and 31,799.81

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Solution

The third proportional to 14,733 and 31,799.81 is: 68,636.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,733 : 31,799.81 = 31,799.81 : x
  2. Step 2: Convert to fraction form
    14,733/31,799.81 = 31,799.81/x
  3. Step 3: Cross multiply
    14,733x = 31,799.81 × 31,799.81
  4. Step 4: Simplify right side
    14,733x = 1,011,228,075.04
  5. Step 5: Solve for x
    x = 1,011,228,075.04/14,733
  6. Step 6: Final answer
    x = 68,636.94

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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.