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Finding the Third Proportional to 3,048.19 and 4,709.81

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Solution

The third proportional to 3,048.19 and 4,709.81 is: 7,277.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,048.19 : 4,709.81 = 4,709.81 : x
  2. Step 2: Convert to fraction form
    3,048.19/4,709.81 = 4,709.81/x
  3. Step 3: Cross multiply
    3,048.19x = 4,709.81 × 4,709.81
  4. Step 4: Simplify right side
    3,048.19x = 22,182,333.79
  5. Step 5: Solve for x
    x = 22,182,333.79/3,048.19
  6. Step 6: Final answer
    x = 7,277.22

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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.