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Finding the Third Proportional to 34,976 and 53,752

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Solution

The third proportional to 34,976 and 53,752 is: 82,607.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,976 : 53,752 = 53,752 : x
  2. Step 2: Convert to fraction form
    34,976/53,752 = 53,752/x
  3. Step 3: Cross multiply
    34,976x = 53,752 × 53,752
  4. Step 4: Simplify right side
    34,976x = 2,889,277,504
  5. Step 5: Solve for x
    x = 2,889,277,504/34,976
  6. Step 6: Final answer
    x = 82,607.43

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.