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Finding the Third Proportional to 15,293 and 23,961

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Solution

The third proportional to 15,293 and 23,961 is: 37,541.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,293 : 23,961 = 23,961 : x
  2. Step 2: Convert to fraction form
    15,293/23,961 = 23,961/x
  3. Step 3: Cross multiply
    15,293x = 23,961 × 23,961
  4. Step 4: Simplify right side
    15,293x = 574,129,521
  5. Step 5: Solve for x
    x = 574,129,521/15,293
  6. Step 6: Final answer
    x = 37,541.98

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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.