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Finding the Third Proportional to 700.95 and 1,474.45

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Solution

The third proportional to 700.95 and 1,474.45 is: 3,101.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    700.95 : 1,474.45 = 1,474.45 : x
  2. Step 2: Convert to fraction form
    700.95/1,474.45 = 1,474.45/x
  3. Step 3: Cross multiply
    700.95x = 1,474.45 × 1,474.45
  4. Step 4: Simplify right side
    700.95x = 2,174,012.02
  5. Step 5: Solve for x
    x = 2,174,012.02/700.95
  6. Step 6: Final answer
    x = 3,101.54

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.