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Finding the Third Proportional to 21,133 and 32,609

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Solution

The third proportional to 21,133 and 32,609 is: 50,316.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,133 : 32,609 = 32,609 : x
  2. Step 2: Convert to fraction form
    21,133/32,609 = 32,609/x
  3. Step 3: Cross multiply
    21,133x = 32,609 × 32,609
  4. Step 4: Simplify right side
    21,133x = 1,063,346,881
  5. Step 5: Solve for x
    x = 1,063,346,881/21,133
  6. Step 6: Final answer
    x = 50,316.89

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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.