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Finding the Third Proportional to 30,862.90 and 41,919.40

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Solution

The third proportional to 30,862.90 and 41,919.40 is: 56,936.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,862.90 : 41,919.40 = 41,919.40 : x
  2. Step 2: Convert to fraction form
    30,862.90/41,919.40 = 41,919.40/x
  3. Step 3: Cross multiply
    30,862.90x = 41,919.40 × 41,919.40
  4. Step 4: Simplify right side
    30,862.90x = 1,757,235,965.36
  5. Step 5: Solve for x
    x = 1,757,235,965.36/30,862.90
  6. Step 6: Final answer
    x = 56,936.84

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.