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Finding the Third Proportional to 21,308 and 31,305

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Solution

The third proportional to 21,308 and 31,305 is: 45,992.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,308 : 31,305 = 31,305 : x
  2. Step 2: Convert to fraction form
    21,308/31,305 = 31,305/x
  3. Step 3: Cross multiply
    21,308x = 31,305 × 31,305
  4. Step 4: Simplify right side
    21,308x = 980,003,025
  5. Step 5: Solve for x
    x = 980,003,025/21,308
  6. Step 6: Final answer
    x = 45,992.26

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.