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Finding the Third Proportional to 19,473 and 27,751.50

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Solution

The third proportional to 19,473 and 27,751.50 is: 39,549.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,473 : 27,751.50 = 27,751.50 : x
  2. Step 2: Convert to fraction form
    19,473/27,751.50 = 27,751.50/x
  3. Step 3: Cross multiply
    19,473x = 27,751.50 × 27,751.50
  4. Step 4: Simplify right side
    19,473x = 770,145,752.25
  5. Step 5: Solve for x
    x = 770,145,752.25/19,473
  6. Step 6: Final answer
    x = 39,549.41

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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.