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Finding the Third Proportional to 4,682.87 and 10,032.03

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Solution

The third proportional to 4,682.87 and 10,032.03 is: 21,491.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,682.87 : 10,032.03 = 10,032.03 : x
  2. Step 2: Convert to fraction form
    4,682.87/10,032.03 = 10,032.03/x
  3. Step 3: Cross multiply
    4,682.87x = 10,032.03 × 10,032.03
  4. Step 4: Simplify right side
    4,682.87x = 100,641,611.81
  5. Step 5: Solve for x
    x = 100,641,611.81/4,682.87
  6. Step 6: Final answer
    x = 21,491.46

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.