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Finding the Third Proportional to 15,257.21 and 23,325.51

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Solution

The third proportional to 15,257.21 and 23,325.51 is: 35,660.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,257.21 : 23,325.51 = 23,325.51 : x
  2. Step 2: Convert to fraction form
    15,257.21/23,325.51 = 23,325.51/x
  3. Step 3: Cross multiply
    15,257.21x = 23,325.51 × 23,325.51
  4. Step 4: Simplify right side
    15,257.21x = 544,079,337.49
  5. Step 5: Solve for x
    x = 544,079,337.49/15,257.21
  6. Step 6: Final answer
    x = 35,660.48

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.