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Finding the Third Proportional to 5,002.25 and 8,009.75

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Solution

The third proportional to 5,002.25 and 8,009.75 is: 12,825.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,002.25 : 8,009.75 = 8,009.75 : x
  2. Step 2: Convert to fraction form
    5,002.25/8,009.75 = 8,009.75/x
  3. Step 3: Cross multiply
    5,002.25x = 8,009.75 × 8,009.75
  4. Step 4: Simplify right side
    5,002.25x = 64,156,095.06
  5. Step 5: Solve for x
    x = 64,156,095.06/5,002.25
  6. Step 6: Final answer
    x = 12,825.45

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.