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Finding the Third Proportional to 1,762.59 and 3,828.94

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Solution

The third proportional to 1,762.59 and 3,828.94 is: 8,317.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,762.59 : 3,828.94 = 3,828.94 : x
  2. Step 2: Convert to fraction form
    1,762.59/3,828.94 = 3,828.94/x
  3. Step 3: Cross multiply
    1,762.59x = 3,828.94 × 3,828.94
  4. Step 4: Simplify right side
    1,762.59x = 14,660,762.38
  5. Step 5: Solve for x
    x = 14,660,762.38/1,762.59
  6. Step 6: Final answer
    x = 8,317.72

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.