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Finding the Third Proportional to 9,271.50 and 19,893

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Solution

The third proportional to 9,271.50 and 19,893 is: 42,682.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,271.50 : 19,893 = 19,893 : x
  2. Step 2: Convert to fraction form
    9,271.50/19,893 = 19,893/x
  3. Step 3: Cross multiply
    9,271.50x = 19,893 × 19,893
  4. Step 4: Simplify right side
    9,271.50x = 395,731,449
  5. Step 5: Solve for x
    x = 395,731,449/9,271.50
  6. Step 6: Final answer
    x = 42,682.57

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.