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Finding the Third Proportional to 3,262.78 and 7,152.05

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Solution

The third proportional to 3,262.78 and 7,152.05 is: 15,677.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,262.78 : 7,152.05 = 7,152.05 : x
  2. Step 2: Convert to fraction form
    3,262.78/7,152.05 = 7,152.05/x
  3. Step 3: Cross multiply
    3,262.78x = 7,152.05 × 7,152.05
  4. Step 4: Simplify right side
    3,262.78x = 51,151,774.50
  5. Step 5: Solve for x
    x = 51,151,774.50/3,262.78
  6. Step 6: Final answer
    x = 15,677.35

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.