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Finding the Third Proportional to 14,496.75 and 23,545.13

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Solution

The third proportional to 14,496.75 and 23,545.13 is: 38,241.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,496.75 : 23,545.13 = 23,545.13 : x
  2. Step 2: Convert to fraction form
    14,496.75/23,545.13 = 23,545.13/x
  3. Step 3: Cross multiply
    14,496.75x = 23,545.13 × 23,545.13
  4. Step 4: Simplify right side
    14,496.75x = 554,372,911.27
  5. Step 5: Solve for x
    x = 554,372,911.27/14,496.75
  6. Step 6: Final answer
    x = 38,241.19

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.