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Finding the Third Proportional to 953.89 and 2,062.14

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Solution

The third proportional to 953.89 and 2,062.14 is: 4,457.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    953.89 : 2,062.14 = 2,062.14 : x
  2. Step 2: Convert to fraction form
    953.89/2,062.14 = 2,062.14/x
  3. Step 3: Cross multiply
    953.89x = 2,062.14 × 2,062.14
  4. Step 4: Simplify right side
    953.89x = 4,252,413.89
  5. Step 5: Solve for x
    x = 4,252,413.89/953.89
  6. Step 6: Final answer
    x = 4,457.99

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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.