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Finding the Third Proportional to 5,653 and 6,571

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Solution

The third proportional to 5,653 and 6,571 is: 7,638.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,653 : 6,571 = 6,571 : x
  2. Step 2: Convert to fraction form
    5,653/6,571 = 6,571/x
  3. Step 3: Cross multiply
    5,653x = 6,571 × 6,571
  4. Step 4: Simplify right side
    5,653x = 43,178,041
  5. Step 5: Solve for x
    x = 43,178,041/5,653
  6. Step 6: Final answer
    x = 7,638.08

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Why These Related Problems?

These problems maintain the same ratio (1.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.