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Finding the Third Proportional to 893.32 and 1,927.76

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Solution

The third proportional to 893.32 and 1,927.76 is: 4,160.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    893.32 : 1,927.76 = 1,927.76 : x
  2. Step 2: Convert to fraction form
    893.32/1,927.76 = 1,927.76/x
  3. Step 3: Cross multiply
    893.32x = 1,927.76 × 1,927.76
  4. Step 4: Simplify right side
    893.32x = 3,716,250.18
  5. Step 5: Solve for x
    x = 3,716,250.18/893.32
  6. Step 6: Final answer
    x = 4,160.04

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.