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Finding the Third Proportional to 34,496 and 53,272

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Solution

The third proportional to 34,496 and 53,272 is: 82,267.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,496 : 53,272 = 53,272 : x
  2. Step 2: Convert to fraction form
    34,496/53,272 = 53,272/x
  3. Step 3: Cross multiply
    34,496x = 53,272 × 53,272
  4. Step 4: Simplify right side
    34,496x = 2,837,905,984
  5. Step 5: Solve for x
    x = 2,837,905,984/34,496
  6. Step 6: Final answer
    x = 82,267.68

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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.