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Finding the Third Proportional to 27,945 and 42,278

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Solution

The third proportional to 27,945 and 42,278 is: 63,962.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,945 : 42,278 = 42,278 : x
  2. Step 2: Convert to fraction form
    27,945/42,278 = 42,278/x
  3. Step 3: Cross multiply
    27,945x = 42,278 × 42,278
  4. Step 4: Simplify right side
    27,945x = 1,787,429,284
  5. Step 5: Solve for x
    x = 1,787,429,284/27,945
  6. Step 6: Final answer
    x = 63,962.40

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.