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Finding the Third Proportional to 13,501.69 and 18,916.03

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Solution

The third proportional to 13,501.69 and 18,916.03 is: 26,501.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,501.69 : 18,916.03 = 18,916.03 : x
  2. Step 2: Convert to fraction form
    13,501.69/18,916.03 = 18,916.03/x
  3. Step 3: Cross multiply
    13,501.69x = 18,916.03 × 18,916.03
  4. Step 4: Simplify right side
    13,501.69x = 357,816,238.25
  5. Step 5: Solve for x
    x = 357,816,238.25/13,501.69
  6. Step 6: Final answer
    x = 26,501.59

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.