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Finding the Third Proportional to 23,000 and 49,840

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Solution

The third proportional to 23,000 and 49,840 is: 108,001.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,000 : 49,840 = 49,840 : x
  2. Step 2: Convert to fraction form
    23,000/49,840 = 49,840/x
  3. Step 3: Cross multiply
    23,000x = 49,840 × 49,840
  4. Step 4: Simplify right side
    23,000x = 2,484,025,600
  5. Step 5: Solve for x
    x = 2,484,025,600/23,000
  6. Step 6: Final answer
    x = 108,001.11

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.