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Finding the Third Proportional to 5,297 and 8,088

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Solution

The third proportional to 5,297 and 8,088 is: 12,349.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,297 : 8,088 = 8,088 : x
  2. Step 2: Convert to fraction form
    5,297/8,088 = 8,088/x
  3. Step 3: Cross multiply
    5,297x = 8,088 × 8,088
  4. Step 4: Simplify right side
    5,297x = 65,415,744
  5. Step 5: Solve for x
    x = 65,415,744/5,297
  6. Step 6: Final answer
    x = 12,349.58

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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.