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Finding the Third Proportional to 892.41 and 1,368.98

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Solution

The third proportional to 892.41 and 1,368.98 is: 2,100.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    892.41 : 1,368.98 = 1,368.98 : x
  2. Step 2: Convert to fraction form
    892.41/1,368.98 = 1,368.98/x
  3. Step 3: Cross multiply
    892.41x = 1,368.98 × 1,368.98
  4. Step 4: Simplify right side
    892.41x = 1,874,118.22
  5. Step 5: Solve for x
    x = 1,874,118.22/892.41
  6. Step 6: Final answer
    x = 2,100.07

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.