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Finding the Third Proportional to 23,064 and 35,259

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Solution

The third proportional to 23,064 and 35,259 is: 53,902.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,064 : 35,259 = 35,259 : x
  2. Step 2: Convert to fraction form
    23,064/35,259 = 35,259/x
  3. Step 3: Cross multiply
    23,064x = 35,259 × 35,259
  4. Step 4: Simplify right side
    23,064x = 1,243,197,081
  5. Step 5: Solve for x
    x = 1,243,197,081/23,064
  6. Step 6: Final answer
    x = 53,902.06

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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.