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Finding the Third Proportional to 1,802.81 and 3,866.63

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Solution

The third proportional to 1,802.81 and 3,866.63 is: 8,293.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,802.81 : 3,866.63 = 3,866.63 : x
  2. Step 2: Convert to fraction form
    1,802.81/3,866.63 = 3,866.63/x
  3. Step 3: Cross multiply
    1,802.81x = 3,866.63 × 3,866.63
  4. Step 4: Simplify right side
    1,802.81x = 14,950,788.89
  5. Step 5: Solve for x
    x = 14,950,788.89/1,802.81
  6. Step 6: Final answer
    x = 8,293.04

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.