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Finding the Third Proportional to 1,927.55 and 3,901.92

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Solution

The third proportional to 1,927.55 and 3,901.92 is: 7,898.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,927.55 : 3,901.92 = 3,901.92 : x
  2. Step 2: Convert to fraction form
    1,927.55/3,901.92 = 3,901.92/x
  3. Step 3: Cross multiply
    1,927.55x = 3,901.92 × 3,901.92
  4. Step 4: Simplify right side
    1,927.55x = 15,224,994.32
  5. Step 5: Solve for x
    x = 15,224,994.32/1,927.55
  6. Step 6: Final answer
    x = 7,898.64

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These problems maintain the same ratio (2.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.