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Finding the Third Proportional to 34,838 and 53,961

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Solution

The third proportional to 34,838 and 53,961 is: 83,580.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,838 : 53,961 = 53,961 : x
  2. Step 2: Convert to fraction form
    34,838/53,961 = 53,961/x
  3. Step 3: Cross multiply
    34,838x = 53,961 × 53,961
  4. Step 4: Simplify right side
    34,838x = 2,911,789,521
  5. Step 5: Solve for x
    x = 2,911,789,521/34,838
  6. Step 6: Final answer
    x = 83,580.85

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.