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Finding the Third Proportional to 23,301 and 50,338.50

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Solution

The third proportional to 23,301 and 50,338.50 is: 108,749.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,301 : 50,338.50 = 50,338.50 : x
  2. Step 2: Convert to fraction form
    23,301/50,338.50 = 50,338.50/x
  3. Step 3: Cross multiply
    23,301x = 50,338.50 × 50,338.50
  4. Step 4: Simplify right side
    23,301x = 2,533,964,582.25
  5. Step 5: Solve for x
    x = 2,533,964,582.25/23,301
  6. Step 6: Final answer
    x = 108,749.18

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.