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Finding the Third Proportional to 21,047.74 and 45,997.48

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Solution

The third proportional to 21,047.74 and 45,997.48 is: 100,522.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,047.74 : 45,997.48 = 45,997.48 : x
  2. Step 2: Convert to fraction form
    21,047.74/45,997.48 = 45,997.48/x
  3. Step 3: Cross multiply
    21,047.74x = 45,997.48 × 45,997.48
  4. Step 4: Simplify right side
    21,047.74x = 2,115,768,119.63
  5. Step 5: Solve for x
    x = 2,115,768,119.63/21,047.74
  6. Step 6: Final answer
    x = 100,522.35

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.