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Finding the Third Proportional to 3,006.25 and 4,095.38

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Solution

The third proportional to 3,006.25 and 4,095.38 is: 5,579.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,006.25 : 4,095.38 = 4,095.38 : x
  2. Step 2: Convert to fraction form
    3,006.25/4,095.38 = 4,095.38/x
  3. Step 3: Cross multiply
    3,006.25x = 4,095.38 × 4,095.38
  4. Step 4: Simplify right side
    3,006.25x = 16,772,096.39
  5. Step 5: Solve for x
    x = 16,772,096.39/3,006.25
  6. Step 6: Final answer
    x = 5,579.08

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.