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Finding the Third Proportional to 5,506 and 7,571

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Solution

The third proportional to 5,506 and 7,571 is: 10,410.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,506 : 7,571 = 7,571 : x
  2. Step 2: Convert to fraction form
    5,506/7,571 = 7,571/x
  3. Step 3: Cross multiply
    5,506x = 7,571 × 7,571
  4. Step 4: Simplify right side
    5,506x = 57,320,041
  5. Step 5: Solve for x
    x = 57,320,041/5,506
  6. Step 6: Final answer
    x = 10,410.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.