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Finding the Third Proportional to 7,073 and 16,515.50

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Solution

The third proportional to 7,073 and 16,515.50 is: 38,563.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,073 : 16,515.50 = 16,515.50 : x
  2. Step 2: Convert to fraction form
    7,073/16,515.50 = 16,515.50/x
  3. Step 3: Cross multiply
    7,073x = 16,515.50 × 16,515.50
  4. Step 4: Simplify right side
    7,073x = 272,761,740.25
  5. Step 5: Solve for x
    x = 272,761,740.25/7,073
  6. Step 6: Final answer
    x = 38,563.80

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.