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Finding the Third Proportional to 2,095.03 and 4,128.89

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Solution

The third proportional to 2,095.03 and 4,128.89 is: 8,137.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,095.03 : 4,128.89 = 4,128.89 : x
  2. Step 2: Convert to fraction form
    2,095.03/4,128.89 = 4,128.89/x
  3. Step 3: Cross multiply
    2,095.03x = 4,128.89 × 4,128.89
  4. Step 4: Simplify right side
    2,095.03x = 17,047,737.79
  5. Step 5: Solve for x
    x = 17,047,737.79/2,095.03
  6. Step 6: Final answer
    x = 8,137.22

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These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.