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Finding the Third Proportional to 15,365 and 33,160

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Solution

The third proportional to 15,365 and 33,160 is: 71,564.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,365 : 33,160 = 33,160 : x
  2. Step 2: Convert to fraction form
    15,365/33,160 = 33,160/x
  3. Step 3: Cross multiply
    15,365x = 33,160 × 33,160
  4. Step 4: Simplify right side
    15,365x = 1,099,585,600
  5. Step 5: Solve for x
    x = 1,099,585,600/15,365
  6. Step 6: Final answer
    x = 71,564.31

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.