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Finding the Third Proportional to 27,346 and 35,907

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Solution

The third proportional to 27,346 and 35,907 is: 47,148.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,346 : 35,907 = 35,907 : x
  2. Step 2: Convert to fraction form
    27,346/35,907 = 35,907/x
  3. Step 3: Cross multiply
    27,346x = 35,907 × 35,907
  4. Step 4: Simplify right side
    27,346x = 1,289,312,649
  5. Step 5: Solve for x
    x = 1,289,312,649/27,346
  6. Step 6: Final answer
    x = 47,148.13

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.