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Finding the Third Proportional to 23,094 and 35,303

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Solution

The third proportional to 23,094 and 35,303 is: 53,966.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,094 : 35,303 = 35,303 : x
  2. Step 2: Convert to fraction form
    23,094/35,303 = 35,303/x
  3. Step 3: Cross multiply
    23,094x = 35,303 × 35,303
  4. Step 4: Simplify right side
    23,094x = 1,246,301,809
  5. Step 5: Solve for x
    x = 1,246,301,809/23,094
  6. Step 6: Final answer
    x = 53,966.48

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.