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Finding the Third Proportional to 23,092 and 35,300

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Solution

The third proportional to 23,092 and 35,300 is: 53,961.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,092 : 35,300 = 35,300 : x
  2. Step 2: Convert to fraction form
    23,092/35,300 = 35,300/x
  3. Step 3: Cross multiply
    23,092x = 35,300 × 35,300
  4. Step 4: Simplify right side
    23,092x = 1,246,090,000
  5. Step 5: Solve for x
    x = 1,246,090,000/23,092
  6. Step 6: Final answer
    x = 53,961.98

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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.