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Finding the Third Proportional to 8,038.50 and 11,731.50

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Solution

The third proportional to 8,038.50 and 11,731.50 is: 17,121.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,038.50 : 11,731.50 = 11,731.50 : x
  2. Step 2: Convert to fraction form
    8,038.50/11,731.50 = 11,731.50/x
  3. Step 3: Cross multiply
    8,038.50x = 11,731.50 × 11,731.50
  4. Step 4: Simplify right side
    8,038.50x = 137,628,092.25
  5. Step 5: Solve for x
    x = 137,628,092.25/8,038.50
  6. Step 6: Final answer
    x = 17,121.12

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.