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Finding the Third Proportional to 35,386 and 70,772

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Solution

The third proportional to 35,386 and 70,772 is: 141,544

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,386 : 70,772 = 70,772 : x
  2. Step 2: Convert to fraction form
    35,386/70,772 = 70,772/x
  3. Step 3: Cross multiply
    35,386x = 70,772 × 70,772
  4. Step 4: Simplify right side
    35,386x = 5,008,675,984
  5. Step 5: Solve for x
    x = 5,008,675,984/35,386
  6. Step 6: Final answer
    x = 141,544

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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.