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Finding the Third Proportional to 5,010.75 and 7,788.94

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Solution

The third proportional to 5,010.75 and 7,788.94 is: 12,107.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,010.75 : 7,788.94 = 7,788.94 : x
  2. Step 2: Convert to fraction form
    5,010.75/7,788.94 = 7,788.94/x
  3. Step 3: Cross multiply
    5,010.75x = 7,788.94 × 7,788.94
  4. Step 4: Simplify right side
    5,010.75x = 60,667,547.38
  5. Step 5: Solve for x
    x = 60,667,547.38/5,010.75
  6. Step 6: Final answer
    x = 12,107.48

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.