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Finding the Third Proportional to 26,641 and 35,541

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Solution

The third proportional to 26,641 and 35,541 is: 47,414.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,641 : 35,541 = 35,541 : x
  2. Step 2: Convert to fraction form
    26,641/35,541 = 35,541/x
  3. Step 3: Cross multiply
    26,641x = 35,541 × 35,541
  4. Step 4: Simplify right side
    26,641x = 1,263,162,681
  5. Step 5: Solve for x
    x = 1,263,162,681/26,641
  6. Step 6: Final answer
    x = 47,414.24

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.