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Finding the Third Proportional to 19,461 and 27,733.50

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Solution

The third proportional to 19,461 and 27,733.50 is: 39,522.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,461 : 27,733.50 = 27,733.50 : x
  2. Step 2: Convert to fraction form
    19,461/27,733.50 = 27,733.50/x
  3. Step 3: Cross multiply
    19,461x = 27,733.50 × 27,733.50
  4. Step 4: Simplify right side
    19,461x = 769,147,022.25
  5. Step 5: Solve for x
    x = 769,147,022.25/19,461
  6. Step 6: Final answer
    x = 39,522.48

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1.5x scale

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.