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Finding the Third Proportional to 14,283.84 and 21,613.71

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Solution

The third proportional to 14,283.84 and 21,613.71 is: 32,704.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,283.84 : 21,613.71 = 21,613.71 : x
  2. Step 2: Convert to fraction form
    14,283.84/21,613.71 = 21,613.71/x
  3. Step 3: Cross multiply
    14,283.84x = 21,613.71 × 21,613.71
  4. Step 4: Simplify right side
    14,283.84x = 467,152,500.49
  5. Step 5: Solve for x
    x = 467,152,500.49/14,283.84
  6. Step 6: Final answer
    x = 32,704.96

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.