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Finding the Third Proportional to 35,408 and 77,616

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Solution

The third proportional to 35,408 and 77,616 is: 170,137.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,408 : 77,616 = 77,616 : x
  2. Step 2: Convert to fraction form
    35,408/77,616 = 77,616/x
  3. Step 3: Cross multiply
    35,408x = 77,616 × 77,616
  4. Step 4: Simplify right side
    35,408x = 6,024,243,456
  5. Step 5: Solve for x
    x = 6,024,243,456/35,408
  6. Step 6: Final answer
    x = 170,137.92

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.