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Finding the Third Proportional to 19,273.50 and 30,543.75

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Solution

The third proportional to 19,273.50 and 30,543.75 is: 48,404.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,273.50 : 30,543.75 = 30,543.75 : x
  2. Step 2: Convert to fraction form
    19,273.50/30,543.75 = 30,543.75/x
  3. Step 3: Cross multiply
    19,273.50x = 30,543.75 × 30,543.75
  4. Step 4: Simplify right side
    19,273.50x = 932,920,664.06
  5. Step 5: Solve for x
    x = 932,920,664.06/19,273.50
  6. Step 6: Final answer
    x = 48,404.32

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.