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Finding the Third Proportional to 1,763.44 and 2,792.81

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Solution

The third proportional to 1,763.44 and 2,792.81 is: 4,423.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,763.44 : 2,792.81 = 2,792.81 : x
  2. Step 2: Convert to fraction form
    1,763.44/2,792.81 = 2,792.81/x
  3. Step 3: Cross multiply
    1,763.44x = 2,792.81 × 2,792.81
  4. Step 4: Simplify right side
    1,763.44x = 7,799,801.66
  5. Step 5: Solve for x
    x = 7,799,801.66/1,763.44
  6. Step 6: Final answer
    x = 4,423.07

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.