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Finding the Third Proportional to 13,043.53 and 14,683.78

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Solution

The third proportional to 13,043.53 and 14,683.78 is: 16,530.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,043.53 : 14,683.78 = 14,683.78 : x
  2. Step 2: Convert to fraction form
    13,043.53/14,683.78 = 14,683.78/x
  3. Step 3: Cross multiply
    13,043.53x = 14,683.78 × 14,683.78
  4. Step 4: Simplify right side
    13,043.53x = 215,613,431.80
  5. Step 5: Solve for x
    x = 215,613,431.80/13,043.53
  6. Step 6: Final answer
    x = 16,530.30

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These problems maintain the same ratio (1.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.