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Finding the Third Proportional to 2,112.75 and 2,801.63

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Solution

The third proportional to 2,112.75 and 2,801.63 is: 3,715.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,112.75 : 2,801.63 = 2,801.63 : x
  2. Step 2: Convert to fraction form
    2,112.75/2,801.63 = 2,801.63/x
  3. Step 3: Cross multiply
    2,112.75x = 2,801.63 × 2,801.63
  4. Step 4: Simplify right side
    2,112.75x = 7,849,102.64
  5. Step 5: Solve for x
    x = 7,849,102.64/2,112.75
  6. Step 6: Final answer
    x = 3,715.11

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.