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Finding the Third Proportional to 21,400.50 and 45,666

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Solution

The third proportional to 21,400.50 and 45,666 is: 97,445.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,400.50 : 45,666 = 45,666 : x
  2. Step 2: Convert to fraction form
    21,400.50/45,666 = 45,666/x
  3. Step 3: Cross multiply
    21,400.50x = 45,666 × 45,666
  4. Step 4: Simplify right side
    21,400.50x = 2,085,383,556
  5. Step 5: Solve for x
    x = 2,085,383,556/21,400.50
  6. Step 6: Final answer
    x = 97,445.55

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.