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Finding the Third Proportional to 21,546 and 45,144

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Solution

The third proportional to 21,546 and 45,144 is: 94,587.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,546 : 45,144 = 45,144 : x
  2. Step 2: Convert to fraction form
    21,546/45,144 = 45,144/x
  3. Step 3: Cross multiply
    21,546x = 45,144 × 45,144
  4. Step 4: Simplify right side
    21,546x = 2,037,980,736
  5. Step 5: Solve for x
    x = 2,037,980,736/21,546
  6. Step 6: Final answer
    x = 94,587.43

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.