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Finding the Third Proportional to 15,844 and 33,623

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Solution

The third proportional to 15,844 and 33,623 is: 71,352.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,844 : 33,623 = 33,623 : x
  2. Step 2: Convert to fraction form
    15,844/33,623 = 33,623/x
  3. Step 3: Cross multiply
    15,844x = 33,623 × 33,623
  4. Step 4: Simplify right side
    15,844x = 1,130,506,129
  5. Step 5: Solve for x
    x = 1,130,506,129/15,844
  6. Step 6: Final answer
    x = 71,352.32

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.