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Finding the Third Proportional to 5,364 and 6,453

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Solution

The third proportional to 5,364 and 6,453 is: 7,763.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,364 : 6,453 = 6,453 : x
  2. Step 2: Convert to fraction form
    5,364/6,453 = 6,453/x
  3. Step 3: Cross multiply
    5,364x = 6,453 × 6,453
  4. Step 4: Simplify right side
    5,364x = 41,641,209
  5. Step 5: Solve for x
    x = 41,641,209/5,364
  6. Step 6: Final answer
    x = 7,763.09

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Why These Related Problems?

These problems maintain the same ratio (1.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.