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Finding the Third Proportional to 15,417 and 33,627

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Solution

The third proportional to 15,417 and 33,627 is: 73,345.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,417 : 33,627 = 33,627 : x
  2. Step 2: Convert to fraction form
    15,417/33,627 = 33,627/x
  3. Step 3: Cross multiply
    15,417x = 33,627 × 33,627
  4. Step 4: Simplify right side
    15,417x = 1,130,775,129
  5. Step 5: Solve for x
    x = 1,130,775,129/15,417
  6. Step 6: Final answer
    x = 73,345.99

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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.