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Finding the Third Proportional to 2,303 and 5,133

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Solution

The third proportional to 2,303 and 5,133 is: 11,440.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,303 : 5,133 = 5,133 : x
  2. Step 2: Convert to fraction form
    2,303/5,133 = 5,133/x
  3. Step 3: Cross multiply
    2,303x = 5,133 × 5,133
  4. Step 4: Simplify right side
    2,303x = 26,347,689
  5. Step 5: Solve for x
    x = 26,347,689/2,303
  6. Step 6: Final answer
    x = 11,440.59

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.