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Finding the Third Proportional to 2,125.75 and 4,593.06

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Solution

The third proportional to 2,125.75 and 4,593.06 is: 9,924.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,125.75 : 4,593.06 = 4,593.06 : x
  2. Step 2: Convert to fraction form
    2,125.75/4,593.06 = 4,593.06/x
  3. Step 3: Cross multiply
    2,125.75x = 4,593.06 × 4,593.06
  4. Step 4: Simplify right side
    2,125.75x = 21,096,223.13
  5. Step 5: Solve for x
    x = 21,096,223.13/2,125.75
  6. Step 6: Final answer
    x = 9,924.13

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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.