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Finding the Third Proportional to 2,300.91 and 5,009.34

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Solution

The third proportional to 2,300.91 and 5,009.34 is: 10,905.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,300.91 : 5,009.34 = 5,009.34 : x
  2. Step 2: Convert to fraction form
    2,300.91/5,009.34 = 5,009.34/x
  3. Step 3: Cross multiply
    2,300.91x = 5,009.34 × 5,009.34
  4. Step 4: Simplify right side
    2,300.91x = 25,093,524.81
  5. Step 5: Solve for x
    x = 25,093,524.81/2,300.91
  6. Step 6: Final answer
    x = 10,905.93

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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.