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Finding the Third Proportional to 30,261.94 and 66,052.13

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Solution

The third proportional to 30,261.94 and 66,052.13 is: 144,170.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,261.94 : 66,052.13 = 66,052.13 : x
  2. Step 2: Convert to fraction form
    30,261.94/66,052.13 = 66,052.13/x
  3. Step 3: Cross multiply
    30,261.94x = 66,052.13 × 66,052.13
  4. Step 4: Simplify right side
    30,261.94x = 4,362,883,217.02
  5. Step 5: Solve for x
    x = 4,362,883,217.02/30,261.94
  6. Step 6: Final answer
    x = 144,170.65

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.