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Finding the Third Proportional to 15,804 and 22,971

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Solution

The third proportional to 15,804 and 22,971 is: 33,388.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,804 : 22,971 = 22,971 : x
  2. Step 2: Convert to fraction form
    15,804/22,971 = 22,971/x
  3. Step 3: Cross multiply
    15,804x = 22,971 × 22,971
  4. Step 4: Simplify right side
    15,804x = 527,666,841
  5. Step 5: Solve for x
    x = 527,666,841/15,804
  6. Step 6: Final answer
    x = 33,388.18

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.