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Finding the Third Proportional to 15,257.25 and 23,101

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Solution

The third proportional to 15,257.25 and 23,101 is: 34,977.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,257.25 : 23,101 = 23,101 : x
  2. Step 2: Convert to fraction form
    15,257.25/23,101 = 23,101/x
  3. Step 3: Cross multiply
    15,257.25x = 23,101 × 23,101
  4. Step 4: Simplify right side
    15,257.25x = 533,656,201
  5. Step 5: Solve for x
    x = 533,656,201/15,257.25
  6. Step 6: Final answer
    x = 34,977.22

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.