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Finding the Third Proportional to 46,203.75 and 66,072.38

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Solution

The third proportional to 46,203.75 and 66,072.38 is: 94,484.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,203.75 : 66,072.38 = 66,072.38 : x
  2. Step 2: Convert to fraction form
    46,203.75/66,072.38 = 66,072.38/x
  3. Step 3: Cross multiply
    46,203.75x = 66,072.38 × 66,072.38
  4. Step 4: Simplify right side
    46,203.75x = 4,365,558,738.14
  5. Step 5: Solve for x
    x = 4,365,558,738.14/46,203.75
  6. Step 6: Final answer
    x = 94,484.94

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.