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Finding the Third Proportional to 15,253 and 23,041

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Solution

The third proportional to 15,253 and 23,041 is: 34,805.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,253 : 23,041 = 23,041 : x
  2. Step 2: Convert to fraction form
    15,253/23,041 = 23,041/x
  3. Step 3: Cross multiply
    15,253x = 23,041 × 23,041
  4. Step 4: Simplify right side
    15,253x = 530,887,681
  5. Step 5: Solve for x
    x = 530,887,681/15,253
  6. Step 6: Final answer
    x = 34,805.46

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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.