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Finding the Third Proportional to 1,405.48 and 3,060.28

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Solution

The third proportional to 1,405.48 and 3,060.28 is: 6,663.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,405.48 : 3,060.28 = 3,060.28 : x
  2. Step 2: Convert to fraction form
    1,405.48/3,060.28 = 3,060.28/x
  3. Step 3: Cross multiply
    1,405.48x = 3,060.28 × 3,060.28
  4. Step 4: Simplify right side
    1,405.48x = 9,365,321.33
  5. Step 5: Solve for x
    x = 9,365,321.33/1,405.48
  6. Step 6: Final answer
    x = 6,663.45

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.