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Finding the Third Proportional to 21,607 and 33,331

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Solution

The third proportional to 21,607 and 33,331 is: 51,416.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,607 : 33,331 = 33,331 : x
  2. Step 2: Convert to fraction form
    21,607/33,331 = 33,331/x
  3. Step 3: Cross multiply
    21,607x = 33,331 × 33,331
  4. Step 4: Simplify right side
    21,607x = 1,110,955,561
  5. Step 5: Solve for x
    x = 1,110,955,561/21,607
  6. Step 6: Final answer
    x = 51,416.47

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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.