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Finding the Third Proportional to 29,326 and 63,890

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Solution

The third proportional to 29,326 and 63,890 is: 139,191.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,326 : 63,890 = 63,890 : x
  2. Step 2: Convert to fraction form
    29,326/63,890 = 63,890/x
  3. Step 3: Cross multiply
    29,326x = 63,890 × 63,890
  4. Step 4: Simplify right side
    29,326x = 4,081,932,100
  5. Step 5: Solve for x
    x = 4,081,932,100/29,326
  6. Step 6: Final answer
    x = 139,191.57

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.