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Finding the Third Proportional to 4,254.19 and 4,709.81

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Solution

The third proportional to 4,254.19 and 4,709.81 is: 5,214.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,254.19 : 4,709.81 = 4,709.81 : x
  2. Step 2: Convert to fraction form
    4,254.19/4,709.81 = 4,709.81/x
  3. Step 3: Cross multiply
    4,254.19x = 4,709.81 × 4,709.81
  4. Step 4: Simplify right side
    4,254.19x = 22,182,333.79
  5. Step 5: Solve for x
    x = 22,182,333.79/4,254.19
  6. Step 6: Final answer
    x = 5,214.24

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.