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Finding the Third Proportional to 15,391 and 33,629

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Solution

The third proportional to 15,391 and 33,629 is: 73,478.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,391 : 33,629 = 33,629 : x
  2. Step 2: Convert to fraction form
    15,391/33,629 = 33,629/x
  3. Step 3: Cross multiply
    15,391x = 33,629 × 33,629
  4. Step 4: Simplify right side
    15,391x = 1,130,909,641
  5. Step 5: Solve for x
    x = 1,130,909,641/15,391
  6. Step 6: Final answer
    x = 73,478.63

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.