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Finding the Third Proportional to 1,652.48 and 3,441.23

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Solution

The third proportional to 1,652.48 and 3,441.23 is: 7,166.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,652.48 : 3,441.23 = 3,441.23 : x
  2. Step 2: Convert to fraction form
    1,652.48/3,441.23 = 3,441.23/x
  3. Step 3: Cross multiply
    1,652.48x = 3,441.23 × 3,441.23
  4. Step 4: Simplify right side
    1,652.48x = 11,842,094.02
  5. Step 5: Solve for x
    x = 11,842,094.02/1,652.48
  6. Step 6: Final answer
    x = 7,166.24

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.