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Finding the Third Proportional to 35,352 and 70,704

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Solution

The third proportional to 35,352 and 70,704 is: 141,408

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,352 : 70,704 = 70,704 : x
  2. Step 2: Convert to fraction form
    35,352/70,704 = 70,704/x
  3. Step 3: Cross multiply
    35,352x = 70,704 × 70,704
  4. Step 4: Simplify right side
    35,352x = 4,999,055,616
  5. Step 5: Solve for x
    x = 4,999,055,616/35,352
  6. Step 6: Final answer
    x = 141,408

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Why These Related Problems?

These problems maintain the same ratio (2) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.