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Finding the Third Proportional to 4,522.13 and 9,776.06

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Solution

The third proportional to 4,522.13 and 9,776.06 is: 21,134.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,522.13 : 9,776.06 = 9,776.06 : x
  2. Step 2: Convert to fraction form
    4,522.13/9,776.06 = 9,776.06/x
  3. Step 3: Cross multiply
    4,522.13x = 9,776.06 × 9,776.06
  4. Step 4: Simplify right side
    4,522.13x = 95,571,398.00
  5. Step 5: Solve for x
    x = 95,571,398.00/4,522.13
  6. Step 6: Final answer
    x = 21,134.18

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.