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Finding the Third Proportional to 33,106 and 46,309

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Solution

The third proportional to 33,106 and 46,309 is: 64,777.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,106 : 46,309 = 46,309 : x
  2. Step 2: Convert to fraction form
    33,106/46,309 = 46,309/x
  3. Step 3: Cross multiply
    33,106x = 46,309 × 46,309
  4. Step 4: Simplify right side
    33,106x = 2,144,523,481
  5. Step 5: Solve for x
    x = 2,144,523,481/33,106
  6. Step 6: Final answer
    x = 64,777.49

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.