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Finding the Third Proportional to 28,944 and 38,593.50

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Solution

The third proportional to 28,944 and 38,593.50 is: 51,460.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,944 : 38,593.50 = 38,593.50 : x
  2. Step 2: Convert to fraction form
    28,944/38,593.50 = 38,593.50/x
  3. Step 3: Cross multiply
    28,944x = 38,593.50 × 38,593.50
  4. Step 4: Simplify right side
    28,944x = 1,489,458,242.25
  5. Step 5: Solve for x
    x = 1,489,458,242.25/28,944
  6. Step 6: Final answer
    x = 51,460.00

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.