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Finding the Third Proportional to 21,335 and 28,546

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Solution

The third proportional to 21,335 and 28,546 is: 38,194.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,335 : 28,546 = 28,546 : x
  2. Step 2: Convert to fraction form
    21,335/28,546 = 28,546/x
  3. Step 3: Cross multiply
    21,335x = 28,546 × 28,546
  4. Step 4: Simplify right side
    21,335x = 814,874,116
  5. Step 5: Solve for x
    x = 814,874,116/21,335
  6. Step 6: Final answer
    x = 38,194.24

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.