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Finding the Third Proportional to 21,303 and 43,971.75

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Solution

The third proportional to 21,303 and 43,971.75 is: 90,762.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,303 : 43,971.75 = 43,971.75 : x
  2. Step 2: Convert to fraction form
    21,303/43,971.75 = 43,971.75/x
  3. Step 3: Cross multiply
    21,303x = 43,971.75 × 43,971.75
  4. Step 4: Simplify right side
    21,303x = 1,933,514,798.06
  5. Step 5: Solve for x
    x = 1,933,514,798.06/21,303
  6. Step 6: Final answer
    x = 90,762.56

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.