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Finding the Third Proportional to 23,309 and 48,895

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Solution

The third proportional to 23,309 and 48,895 is: 102,566.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,309 : 48,895 = 48,895 : x
  2. Step 2: Convert to fraction form
    23,309/48,895 = 48,895/x
  3. Step 3: Cross multiply
    23,309x = 48,895 × 48,895
  4. Step 4: Simplify right side
    23,309x = 2,390,721,025
  5. Step 5: Solve for x
    x = 2,390,721,025/23,309
  6. Step 6: Final answer
    x = 102,566.43

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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.