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Finding the Third Proportional to 8,073 and 17,420.50

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Solution

The third proportional to 8,073 and 17,420.50 is: 37,591.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,073 : 17,420.50 = 17,420.50 : x
  2. Step 2: Convert to fraction form
    8,073/17,420.50 = 17,420.50/x
  3. Step 3: Cross multiply
    8,073x = 17,420.50 × 17,420.50
  4. Step 4: Simplify right side
    8,073x = 303,473,820.25
  5. Step 5: Solve for x
    x = 303,473,820.25/8,073
  6. Step 6: Final answer
    x = 37,591.21

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.