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Finding the Third Proportional to 10,036.50 and 23,241.75

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Solution

The third proportional to 10,036.50 and 23,241.75 is: 53,821.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,036.50 : 23,241.75 = 23,241.75 : x
  2. Step 2: Convert to fraction form
    10,036.50/23,241.75 = 23,241.75/x
  3. Step 3: Cross multiply
    10,036.50x = 23,241.75 × 23,241.75
  4. Step 4: Simplify right side
    10,036.50x = 540,178,943.06
  5. Step 5: Solve for x
    x = 540,178,943.06/10,036.50
  6. Step 6: Final answer
    x = 53,821.45

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These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.