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Finding the Third Proportional to 4,627 and 9,527

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Solution

The third proportional to 4,627 and 9,527 is: 19,616.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,627 : 9,527 = 9,527 : x
  2. Step 2: Convert to fraction form
    4,627/9,527 = 9,527/x
  3. Step 3: Cross multiply
    4,627x = 9,527 × 9,527
  4. Step 4: Simplify right side
    4,627x = 90,763,729
  5. Step 5: Solve for x
    x = 90,763,729/4,627
  6. Step 6: Final answer
    x = 19,616.11

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.