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Finding the Third Proportional to 5,010.50 and 8,927.50

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Solution

The third proportional to 5,010.50 and 8,927.50 is: 15,906.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,010.50 : 8,927.50 = 8,927.50 : x
  2. Step 2: Convert to fraction form
    5,010.50/8,927.50 = 8,927.50/x
  3. Step 3: Cross multiply
    5,010.50x = 8,927.50 × 8,927.50
  4. Step 4: Simplify right side
    5,010.50x = 79,700,256.25
  5. Step 5: Solve for x
    x = 79,700,256.25/5,010.50
  6. Step 6: Final answer
    x = 15,906.65

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.