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Finding the Third Proportional to 46,222.31 and 66,052.97

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Solution

The third proportional to 46,222.31 and 66,052.97 is: 94,391.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,222.31 : 66,052.97 = 66,052.97 : x
  2. Step 2: Convert to fraction form
    46,222.31/66,052.97 = 66,052.97/x
  3. Step 3: Cross multiply
    46,222.31x = 66,052.97 × 66,052.97
  4. Step 4: Simplify right side
    46,222.31x = 4,362,994,680.69
  5. Step 5: Solve for x
    x = 4,362,994,680.69/46,222.31
  6. Step 6: Final answer
    x = 94,391.53

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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.