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Finding the Third Proportional to 10,185.75 and 24,274.69

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Solution

The third proportional to 10,185.75 and 24,274.69 is: 57,851.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,185.75 : 24,274.69 = 24,274.69 : x
  2. Step 2: Convert to fraction form
    10,185.75/24,274.69 = 24,274.69/x
  3. Step 3: Cross multiply
    10,185.75x = 24,274.69 × 24,274.69
  4. Step 4: Simplify right side
    10,185.75x = 589,260,453.22
  5. Step 5: Solve for x
    x = 589,260,453.22/10,185.75
  6. Step 6: Final answer
    x = 57,851.45

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Why These Related Problems?

These problems maintain the same ratio (2.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.