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Finding the Third Proportional to 7,010.75 and 10,775.75

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Solution

The third proportional to 7,010.75 and 10,775.75 is: 16,562.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,010.75 : 10,775.75 = 10,775.75 : x
  2. Step 2: Convert to fraction form
    7,010.75/10,775.75 = 10,775.75/x
  3. Step 3: Cross multiply
    7,010.75x = 10,775.75 × 10,775.75
  4. Step 4: Simplify right side
    7,010.75x = 116,116,788.06
  5. Step 5: Solve for x
    x = 116,116,788.06/7,010.75
  6. Step 6: Final answer
    x = 16,562.68

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.