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Finding the Third Proportional to 5,502.94 and 13,043.53

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Solution

The third proportional to 5,502.94 and 13,043.53 is: 30,916.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,502.94 : 13,043.53 = 13,043.53 : x
  2. Step 2: Convert to fraction form
    5,502.94/13,043.53 = 13,043.53/x
  3. Step 3: Cross multiply
    5,502.94x = 13,043.53 × 13,043.53
  4. Step 4: Simplify right side
    5,502.94x = 170,133,707.47
  5. Step 5: Solve for x
    x = 170,133,707.47/5,502.94
  6. Step 6: Final answer
    x = 30,916.89

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.