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Finding the Third Proportional to 21,513.75 and 31,419.75

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Solution

The third proportional to 21,513.75 and 31,419.75 is: 45,886.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,513.75 : 31,419.75 = 31,419.75 : x
  2. Step 2: Convert to fraction form
    21,513.75/31,419.75 = 31,419.75/x
  3. Step 3: Cross multiply
    21,513.75x = 31,419.75 × 31,419.75
  4. Step 4: Simplify right side
    21,513.75x = 987,200,690.06
  5. Step 5: Solve for x
    x = 987,200,690.06/21,513.75
  6. Step 6: Final answer
    x = 45,886.96

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.