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Finding the Third Proportional to 5,447 and 6,527

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Solution

The third proportional to 5,447 and 6,527 is: 7,821.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,447 : 6,527 = 6,527 : x
  2. Step 2: Convert to fraction form
    5,447/6,527 = 6,527/x
  3. Step 3: Cross multiply
    5,447x = 6,527 × 6,527
  4. Step 4: Simplify right side
    5,447x = 42,601,729
  5. Step 5: Solve for x
    x = 42,601,729/5,447
  6. Step 6: Final answer
    x = 7,821.14

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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.