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Finding the Third Proportional to 15,194 and 31,924

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Solution

The third proportional to 15,194 and 31,924 is: 67,075.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,194 : 31,924 = 31,924 : x
  2. Step 2: Convert to fraction form
    15,194/31,924 = 31,924/x
  3. Step 3: Cross multiply
    15,194x = 31,924 × 31,924
  4. Step 4: Simplify right side
    15,194x = 1,019,141,776
  5. Step 5: Solve for x
    x = 1,019,141,776/15,194
  6. Step 6: Final answer
    x = 67,075.28

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.