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Finding the Third Proportional to 992.50 and 2,147.50

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Solution

The third proportional to 992.50 and 2,147.50 is: 4,646.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    992.50 : 2,147.50 = 2,147.50 : x
  2. Step 2: Convert to fraction form
    992.50/2,147.50 = 2,147.50/x
  3. Step 3: Cross multiply
    992.50x = 2,147.50 × 2,147.50
  4. Step 4: Simplify right side
    992.50x = 4,611,756.25
  5. Step 5: Solve for x
    x = 4,611,756.25/992.50
  6. Step 6: Final answer
    x = 4,646.61

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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.