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Finding the Third Proportional to 15,692 and 23,014

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Solution

The third proportional to 15,692 and 23,014 is: 33,752.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,692 : 23,014 = 23,014 : x
  2. Step 2: Convert to fraction form
    15,692/23,014 = 23,014/x
  3. Step 3: Cross multiply
    15,692x = 23,014 × 23,014
  4. Step 4: Simplify right side
    15,692x = 529,644,196
  5. Step 5: Solve for x
    x = 529,644,196/15,692
  6. Step 6: Final answer
    x = 33,752.50

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.