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Finding the Third Proportional to 34,736 and 53,754

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Solution

The third proportional to 34,736 and 53,754 is: 83,184.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,736 : 53,754 = 53,754 : x
  2. Step 2: Convert to fraction form
    34,736/53,754 = 53,754/x
  3. Step 3: Cross multiply
    34,736x = 53,754 × 53,754
  4. Step 4: Simplify right side
    34,736x = 2,889,492,516
  5. Step 5: Solve for x
    x = 2,889,492,516/34,736
  6. Step 6: Final answer
    x = 83,184.38

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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.