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Finding the Third Proportional to 33,664 and 53,776

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Solution

The third proportional to 33,664 and 53,776 is: 85,903.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,664 : 53,776 = 53,776 : x
  2. Step 2: Convert to fraction form
    33,664/53,776 = 53,776/x
  3. Step 3: Cross multiply
    33,664x = 53,776 × 53,776
  4. Step 4: Simplify right side
    33,664x = 2,891,858,176
  5. Step 5: Solve for x
    x = 2,891,858,176/33,664
  6. Step 6: Final answer
    x = 85,903.58

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.