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Finding the Third Proportional to 5,303.25 and 8,130.38

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Solution

The third proportional to 5,303.25 and 8,130.38 is: 12,464.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,303.25 : 8,130.38 = 8,130.38 : x
  2. Step 2: Convert to fraction form
    5,303.25/8,130.38 = 8,130.38/x
  3. Step 3: Cross multiply
    5,303.25x = 8,130.38 × 8,130.38
  4. Step 4: Simplify right side
    5,303.25x = 66,102,997.64
  5. Step 5: Solve for x
    x = 66,102,997.64/5,303.25
  6. Step 6: Final answer
    x = 12,464.62

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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.