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Finding the Third Proportional to 5,319 and 8,122.50

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Solution

The third proportional to 5,319 and 8,122.50 is: 12,403.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,319 : 8,122.50 = 8,122.50 : x
  2. Step 2: Convert to fraction form
    5,319/8,122.50 = 8,122.50/x
  3. Step 3: Cross multiply
    5,319x = 8,122.50 × 8,122.50
  4. Step 4: Simplify right side
    5,319x = 65,975,006.25
  5. Step 5: Solve for x
    x = 65,975,006.25/5,319
  6. Step 6: Final answer
    x = 12,403.65

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.