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Finding the Third Proportional to 2,125.13 and 4,600.25

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Solution

The third proportional to 2,125.13 and 4,600.25 is: 9,958.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,125.13 : 4,600.25 = 4,600.25 : x
  2. Step 2: Convert to fraction form
    2,125.13/4,600.25 = 4,600.25/x
  3. Step 3: Cross multiply
    2,125.13x = 4,600.25 × 4,600.25
  4. Step 4: Simplify right side
    2,125.13x = 21,162,300.06
  5. Step 5: Solve for x
    x = 21,162,300.06/2,125.13
  6. Step 6: Final answer
    x = 9,958.14

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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.