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Finding the Third Proportional to 7,584 and 16,198.50

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Solution

The third proportional to 7,584 and 16,198.50 is: 34,598.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,584 : 16,198.50 = 16,198.50 : x
  2. Step 2: Convert to fraction form
    7,584/16,198.50 = 16,198.50/x
  3. Step 3: Cross multiply
    7,584x = 16,198.50 × 16,198.50
  4. Step 4: Simplify right side
    7,584x = 262,391,402.25
  5. Step 5: Solve for x
    x = 262,391,402.25/7,584
  6. Step 6: Final answer
    x = 34,598.02

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.