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Finding the Third Proportional to 1,775.75 and 2,688.25

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Solution

The third proportional to 1,775.75 and 2,688.25 is: 4,069.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,775.75 : 2,688.25 = 2,688.25 : x
  2. Step 2: Convert to fraction form
    1,775.75/2,688.25 = 2,688.25/x
  3. Step 3: Cross multiply
    1,775.75x = 2,688.25 × 2,688.25
  4. Step 4: Simplify right side
    1,775.75x = 7,226,688.06
  5. Step 5: Solve for x
    x = 7,226,688.06/1,775.75
  6. Step 6: Final answer
    x = 4,069.65

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.