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Finding the Third Proportional to 23,501 and 48,148

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Solution

The third proportional to 23,501 and 48,148 is: 98,643.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,501 : 48,148 = 48,148 : x
  2. Step 2: Convert to fraction form
    23,501/48,148 = 48,148/x
  3. Step 3: Cross multiply
    23,501x = 48,148 × 48,148
  4. Step 4: Simplify right side
    23,501x = 2,318,229,904
  5. Step 5: Solve for x
    x = 2,318,229,904/23,501
  6. Step 6: Final answer
    x = 98,643.88

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.