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Finding the Third Proportional to 21,636 and 45,455.63

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Solution

The third proportional to 21,636 and 45,455.63 is: 95,498.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,636 : 45,455.63 = 45,455.63 : x
  2. Step 2: Convert to fraction form
    21,636/45,455.63 = 45,455.63/x
  3. Step 3: Cross multiply
    21,636x = 45,455.63 × 45,455.63
  4. Step 4: Simplify right side
    21,636x = 2,066,213,844.14
  5. Step 5: Solve for x
    x = 2,066,213,844.14/21,636
  6. Step 6: Final answer
    x = 95,498.88

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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.