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Finding the Third Proportional to 23,094 and 48,510

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Solution

The third proportional to 23,094 and 48,510 is: 101,897.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,094 : 48,510 = 48,510 : x
  2. Step 2: Convert to fraction form
    23,094/48,510 = 48,510/x
  3. Step 3: Cross multiply
    23,094x = 48,510 × 48,510
  4. Step 4: Simplify right side
    23,094x = 2,353,220,100
  5. Step 5: Solve for x
    x = 2,353,220,100/23,094
  6. Step 6: Final answer
    x = 101,897.47

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.