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Finding the Third Proportional to 16,294.50 and 26,983.13

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Solution

The third proportional to 16,294.50 and 26,983.13 is: 44,683.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,294.50 : 26,983.13 = 26,983.13 : x
  2. Step 2: Convert to fraction form
    16,294.50/26,983.13 = 26,983.13/x
  3. Step 3: Cross multiply
    16,294.50x = 26,983.13 × 26,983.13
  4. Step 4: Simplify right side
    16,294.50x = 728,089,034.77
  5. Step 5: Solve for x
    x = 728,089,034.77/16,294.50
  6. Step 6: Final answer
    x = 44,683.12

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.