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Finding the Third Proportional to 30,535.50 and 66,291

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Solution

The third proportional to 30,535.50 and 66,291 is: 143,914.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,535.50 : 66,291 = 66,291 : x
  2. Step 2: Convert to fraction form
    30,535.50/66,291 = 66,291/x
  3. Step 3: Cross multiply
    30,535.50x = 66,291 × 66,291
  4. Step 4: Simplify right side
    30,535.50x = 4,394,496,681
  5. Step 5: Solve for x
    x = 4,394,496,681/30,535.50
  6. Step 6: Final answer
    x = 143,914.35

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.