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Finding the Third Proportional to 34,593 and 53,673

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Solution

The third proportional to 34,593 and 53,673 is: 83,276.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,593 : 53,673 = 53,673 : x
  2. Step 2: Convert to fraction form
    34,593/53,673 = 53,673/x
  3. Step 3: Cross multiply
    34,593x = 53,673 × 53,673
  4. Step 4: Simplify right side
    34,593x = 2,880,790,929
  5. Step 5: Solve for x
    x = 2,880,790,929/34,593
  6. Step 6: Final answer
    x = 83,276.70

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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.