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Finding the Third Proportional to 1,392.75 and 2,365.88

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Solution

The third proportional to 1,392.75 and 2,365.88 is: 4,018.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,392.75 : 2,365.88 = 2,365.88 : x
  2. Step 2: Convert to fraction form
    1,392.75/2,365.88 = 2,365.88/x
  3. Step 3: Cross multiply
    1,392.75x = 2,365.88 × 2,365.88
  4. Step 4: Simplify right side
    1,392.75x = 5,597,364.52
  5. Step 5: Solve for x
    x = 5,597,364.52/1,392.75
  6. Step 6: Final answer
    x = 4,018.93

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These problems maintain the same ratio (1.70) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.