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Finding the Third Proportional to 23,071 and 49,841

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Solution

The third proportional to 23,071 and 49,841 is: 107,673.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,071 : 49,841 = 49,841 : x
  2. Step 2: Convert to fraction form
    23,071/49,841 = 49,841/x
  3. Step 3: Cross multiply
    23,071x = 49,841 × 49,841
  4. Step 4: Simplify right side
    23,071x = 2,484,125,281
  5. Step 5: Solve for x
    x = 2,484,125,281/23,071
  6. Step 6: Final answer
    x = 107,673.06

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.