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Finding the Third Proportional to 21,419.38 and 32,003.06

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Solution

The third proportional to 21,419.38 and 32,003.06 is: 47,816.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,419.38 : 32,003.06 = 32,003.06 : x
  2. Step 2: Convert to fraction form
    21,419.38/32,003.06 = 32,003.06/x
  3. Step 3: Cross multiply
    21,419.38x = 32,003.06 × 32,003.06
  4. Step 4: Simplify right side
    21,419.38x = 1,024,196,009.38
  5. Step 5: Solve for x
    x = 1,024,196,009.38/21,419.38
  6. Step 6: Final answer
    x = 47,816.33

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.