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Finding the Third Proportional to 23,456 and 51,712

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Solution

The third proportional to 23,456 and 51,712 is: 114,006.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,456 : 51,712 = 51,712 : x
  2. Step 2: Convert to fraction form
    23,456/51,712 = 51,712/x
  3. Step 3: Cross multiply
    23,456x = 51,712 × 51,712
  4. Step 4: Simplify right side
    23,456x = 2,674,130,944
  5. Step 5: Solve for x
    x = 2,674,130,944/23,456
  6. Step 6: Final answer
    x = 114,006.26

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.