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Finding the Third Proportional to 2,077.59 and 2,999.81

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Solution

The third proportional to 2,077.59 and 2,999.81 is: 4,331.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,077.59 : 2,999.81 = 2,999.81 : x
  2. Step 2: Convert to fraction form
    2,077.59/2,999.81 = 2,999.81/x
  3. Step 3: Cross multiply
    2,077.59x = 2,999.81 × 2,999.81
  4. Step 4: Simplify right side
    2,077.59x = 8,998,875.04
  5. Step 5: Solve for x
    x = 8,998,875.04/2,077.59
  6. Step 6: Final answer
    x = 4,331.39

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.