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Finding the Third Proportional to 1,602.28 and 3,420.98

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Solution

The third proportional to 1,602.28 and 3,420.98 is: 7,304.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,602.28 : 3,420.98 = 3,420.98 : x
  2. Step 2: Convert to fraction form
    1,602.28/3,420.98 = 3,420.98/x
  3. Step 3: Cross multiply
    1,602.28x = 3,420.98 × 3,420.98
  4. Step 4: Simplify right side
    1,602.28x = 11,703,134.09
  5. Step 5: Solve for x
    x = 11,703,134.09/1,602.28
  6. Step 6: Final answer
    x = 7,304.04

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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.