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Finding the Third Proportional to 23,581 and 51,254

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Solution

The third proportional to 23,581 and 51,254 is: 111,402.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,581 : 51,254 = 51,254 : x
  2. Step 2: Convert to fraction form
    23,581/51,254 = 51,254/x
  3. Step 3: Cross multiply
    23,581x = 51,254 × 51,254
  4. Step 4: Simplify right side
    23,581x = 2,626,972,516
  5. Step 5: Solve for x
    x = 2,626,972,516/23,581
  6. Step 6: Final answer
    x = 111,402.08

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.