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Finding the Third Proportional to 19,830.75 and 28,652.25

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Solution

The third proportional to 19,830.75 and 28,652.25 is: 41,397.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,830.75 : 28,652.25 = 28,652.25 : x
  2. Step 2: Convert to fraction form
    19,830.75/28,652.25 = 28,652.25/x
  3. Step 3: Cross multiply
    19,830.75x = 28,652.25 × 28,652.25
  4. Step 4: Simplify right side
    19,830.75x = 820,951,430.06
  5. Step 5: Solve for x
    x = 820,951,430.06/19,830.75
  6. Step 6: Final answer
    x = 41,397.90

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.