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Finding the Third Proportional to 1,775.04 and 4,188.43

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Solution

The third proportional to 1,775.04 and 4,188.43 is: 9,883.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,775.04 : 4,188.43 = 4,188.43 : x
  2. Step 2: Convert to fraction form
    1,775.04/4,188.43 = 4,188.43/x
  3. Step 3: Cross multiply
    1,775.04x = 4,188.43 × 4,188.43
  4. Step 4: Simplify right side
    1,775.04x = 17,542,926.89
  5. Step 5: Solve for x
    x = 17,542,926.89/1,775.04
  6. Step 6: Final answer
    x = 9,883.12

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.