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Finding the Third Proportional to 21,235.50 and 45,744.75

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Solution

The third proportional to 21,235.50 and 45,744.75 is: 98,541.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,235.50 : 45,744.75 = 45,744.75 : x
  2. Step 2: Convert to fraction form
    21,235.50/45,744.75 = 45,744.75/x
  3. Step 3: Cross multiply
    21,235.50x = 45,744.75 × 45,744.75
  4. Step 4: Simplify right side
    21,235.50x = 2,092,582,152.56
  5. Step 5: Solve for x
    x = 2,092,582,152.56/21,235.50
  6. Step 6: Final answer
    x = 98,541.69

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.