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Finding the Third Proportional to 5,412 and 7,390.50

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Solution

The third proportional to 5,412 and 7,390.50 is: 10,092.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,412 : 7,390.50 = 7,390.50 : x
  2. Step 2: Convert to fraction form
    5,412/7,390.50 = 7,390.50/x
  3. Step 3: Cross multiply
    5,412x = 7,390.50 × 7,390.50
  4. Step 4: Simplify right side
    5,412x = 54,619,490.25
  5. Step 5: Solve for x
    x = 54,619,490.25/5,412
  6. Step 6: Final answer
    x = 10,092.29

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.