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Finding the Third Proportional to 2,802.94 and 3,790.97

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Solution

The third proportional to 2,802.94 and 3,790.97 is: 5,127.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,802.94 : 3,790.97 = 3,790.97 : x
  2. Step 2: Convert to fraction form
    2,802.94/3,790.97 = 3,790.97/x
  3. Step 3: Cross multiply
    2,802.94x = 3,790.97 × 3,790.97
  4. Step 4: Simplify right side
    2,802.94x = 14,371,444.06
  5. Step 5: Solve for x
    x = 14,371,444.06/2,802.94
  6. Step 6: Final answer
    x = 5,127.28

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.