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Finding the Third Proportional to 26,348.63 and 46,848.38

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Solution

The third proportional to 26,348.63 and 46,848.38 is: 83,297.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,348.63 : 46,848.38 = 46,848.38 : x
  2. Step 2: Convert to fraction form
    26,348.63/46,848.38 = 46,848.38/x
  3. Step 3: Cross multiply
    26,348.63x = 46,848.38 × 46,848.38
  4. Step 4: Simplify right side
    26,348.63x = 2,194,770,240.14
  5. Step 5: Solve for x
    x = 2,194,770,240.14/26,348.63
  6. Step 6: Final answer
    x = 83,297.33

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.