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Finding the Third Proportional to 15,764.20 and 23,040.07

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Solution

The third proportional to 15,764.20 and 23,040.07 is: 33,674.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,764.20 : 23,040.07 = 23,040.07 : x
  2. Step 2: Convert to fraction form
    15,764.20/23,040.07 = 23,040.07/x
  3. Step 3: Cross multiply
    15,764.20x = 23,040.07 × 23,040.07
  4. Step 4: Simplify right side
    15,764.20x = 530,844,840.00
  5. Step 5: Solve for x
    x = 530,844,840.00/15,764.20
  6. Step 6: Final answer
    x = 33,674.07

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.