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Finding the Third Proportional to 15,201 and 23,797.50

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Solution

The third proportional to 15,201 and 23,797.50 is: 37,255.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,201 : 23,797.50 = 23,797.50 : x
  2. Step 2: Convert to fraction form
    15,201/23,797.50 = 23,797.50/x
  3. Step 3: Cross multiply
    15,201x = 23,797.50 × 23,797.50
  4. Step 4: Simplify right side
    15,201x = 566,321,006.25
  5. Step 5: Solve for x
    x = 566,321,006.25/15,201
  6. Step 6: Final answer
    x = 37,255.51

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.