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Finding the Third Proportional to 10,303.50 and 26,100

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Solution

The third proportional to 10,303.50 and 26,100 is: 66,114.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,303.50 : 26,100 = 26,100 : x
  2. Step 2: Convert to fraction form
    10,303.50/26,100 = 26,100/x
  3. Step 3: Cross multiply
    10,303.50x = 26,100 × 26,100
  4. Step 4: Simplify right side
    10,303.50x = 681,210,000
  5. Step 5: Solve for x
    x = 681,210,000/10,303.50
  6. Step 6: Final answer
    x = 66,114.43

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Why These Related Problems?

These problems maintain the same ratio (2.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.