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Finding the Third Proportional to 15,464 and 33,896

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Solution

The third proportional to 15,464 and 33,896 is: 74,297.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,464 : 33,896 = 33,896 : x
  2. Step 2: Convert to fraction form
    15,464/33,896 = 33,896/x
  3. Step 3: Cross multiply
    15,464x = 33,896 × 33,896
  4. Step 4: Simplify right side
    15,464x = 1,148,938,816
  5. Step 5: Solve for x
    x = 1,148,938,816/15,464
  6. Step 6: Final answer
    x = 74,297.65

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.