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Finding the Third Proportional to 2,071.97 and 4,474.93

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Solution

The third proportional to 2,071.97 and 4,474.93 is: 9,664.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,071.97 : 4,474.93 = 4,474.93 : x
  2. Step 2: Convert to fraction form
    2,071.97/4,474.93 = 4,474.93/x
  3. Step 3: Cross multiply
    2,071.97x = 4,474.93 × 4,474.93
  4. Step 4: Simplify right side
    2,071.97x = 20,025,030.67
  5. Step 5: Solve for x
    x = 20,025,030.67/2,071.97
  6. Step 6: Final answer
    x = 9,664.74

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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.