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Finding the Third Proportional to 35,361 and 77,283

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Solution

The third proportional to 35,361 and 77,283 is: 168,905.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,361 : 77,283 = 77,283 : x
  2. Step 2: Convert to fraction form
    35,361/77,283 = 77,283/x
  3. Step 3: Cross multiply
    35,361x = 77,283 × 77,283
  4. Step 4: Simplify right side
    35,361x = 5,972,662,089
  5. Step 5: Solve for x
    x = 5,972,662,089/35,361
  6. Step 6: Final answer
    x = 168,905.35

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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.