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Finding the Third Proportional to 1,984 and 4,272.50

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Solution

The third proportional to 1,984 and 4,272.50 is: 9,200.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,984 : 4,272.50 = 4,272.50 : x
  2. Step 2: Convert to fraction form
    1,984/4,272.50 = 4,272.50/x
  3. Step 3: Cross multiply
    1,984x = 4,272.50 × 4,272.50
  4. Step 4: Simplify right side
    1,984x = 18,254,256.25
  5. Step 5: Solve for x
    x = 18,254,256.25/1,984
  6. Step 6: Final answer
    x = 9,200.73

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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.