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Finding the Third Proportional to 34,552 and 53,355

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Solution

The third proportional to 34,552 and 53,355 is: 82,390.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,552 : 53,355 = 53,355 : x
  2. Step 2: Convert to fraction form
    34,552/53,355 = 53,355/x
  3. Step 3: Cross multiply
    34,552x = 53,355 × 53,355
  4. Step 4: Simplify right side
    34,552x = 2,846,756,025
  5. Step 5: Solve for x
    x = 2,846,756,025/34,552
  6. Step 6: Final answer
    x = 82,390.48

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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.