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Finding the Third Proportional to 4,582.13 and 7,261.31

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Solution

The third proportional to 4,582.13 and 7,261.31 is: 11,507.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,582.13 : 7,261.31 = 7,261.31 : x
  2. Step 2: Convert to fraction form
    4,582.13/7,261.31 = 7,261.31/x
  3. Step 3: Cross multiply
    4,582.13x = 7,261.31 × 7,261.31
  4. Step 4: Simplify right side
    4,582.13x = 52,726,659.22
  5. Step 5: Solve for x
    x = 52,726,659.22/4,582.13
  6. Step 6: Final answer
    x = 11,507.03

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.