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Finding the Third Proportional to 21,232.13 and 45,739.69

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Solution

The third proportional to 21,232.13 and 45,739.69 is: 98,535.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,232.13 : 45,739.69 = 45,739.69 : x
  2. Step 2: Convert to fraction form
    21,232.13/45,739.69 = 45,739.69/x
  3. Step 3: Cross multiply
    21,232.13x = 45,739.69 × 45,739.69
  4. Step 4: Simplify right side
    21,232.13x = 2,092,119,012.60
  5. Step 5: Solve for x
    x = 2,092,119,012.60/21,232.13
  6. Step 6: Final answer
    x = 98,535.55

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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.