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Finding the Third Proportional to 30,853.50 and 45,361.50

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Solution

The third proportional to 30,853.50 and 45,361.50 is: 66,691.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,853.50 : 45,361.50 = 45,361.50 : x
  2. Step 2: Convert to fraction form
    30,853.50/45,361.50 = 45,361.50/x
  3. Step 3: Cross multiply
    30,853.50x = 45,361.50 × 45,361.50
  4. Step 4: Simplify right side
    30,853.50x = 2,057,665,682.25
  5. Step 5: Solve for x
    x = 2,057,665,682.25/30,853.50
  6. Step 6: Final answer
    x = 66,691.48

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.