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Finding the Third Proportional to 1,473.75 and 1,984.88

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Solution

The third proportional to 1,473.75 and 1,984.88 is: 2,673.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,473.75 : 1,984.88 = 1,984.88 : x
  2. Step 2: Convert to fraction form
    1,473.75/1,984.88 = 1,984.88/x
  3. Step 3: Cross multiply
    1,473.75x = 1,984.88 × 1,984.88
  4. Step 4: Simplify right side
    1,473.75x = 3,939,728.77
  5. Step 5: Solve for x
    x = 3,939,728.77/1,473.75
  6. Step 6: Final answer
    x = 2,673.27

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.