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Finding the Third Proportional to 35,408 and 54,341

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Solution

The third proportional to 35,408 and 54,341 is: 83,397.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,408 : 54,341 = 54,341 : x
  2. Step 2: Convert to fraction form
    35,408/54,341 = 54,341/x
  3. Step 3: Cross multiply
    35,408x = 54,341 × 54,341
  4. Step 4: Simplify right side
    35,408x = 2,952,944,281
  5. Step 5: Solve for x
    x = 2,952,944,281/35,408
  6. Step 6: Final answer
    x = 83,397.66

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.