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Finding the Third Proportional to 2,364.27 and 3,777.06

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Solution

The third proportional to 2,364.27 and 3,777.06 is: 6,034.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,364.27 : 3,777.06 = 3,777.06 : x
  2. Step 2: Convert to fraction form
    2,364.27/3,777.06 = 3,777.06/x
  3. Step 3: Cross multiply
    2,364.27x = 3,777.06 × 3,777.06
  4. Step 4: Simplify right side
    2,364.27x = 14,266,182.69
  5. Step 5: Solve for x
    x = 14,266,182.69/2,364.27
  6. Step 6: Final answer
    x = 6,034.08

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.