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Finding the Third Proportional to 23,710 and 51,362

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Solution

The third proportional to 23,710 and 51,362 is: 111,263.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,710 : 51,362 = 51,362 : x
  2. Step 2: Convert to fraction form
    23,710/51,362 = 51,362/x
  3. Step 3: Cross multiply
    23,710x = 51,362 × 51,362
  4. Step 4: Simplify right side
    23,710x = 2,638,055,044
  5. Step 5: Solve for x
    x = 2,638,055,044/23,710
  6. Step 6: Final answer
    x = 111,263.39

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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.