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Finding the Third Proportional to 23,730 and 51,132

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Solution

The third proportional to 23,730 and 51,132 is: 110,176.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,730 : 51,132 = 51,132 : x
  2. Step 2: Convert to fraction form
    23,730/51,132 = 51,132/x
  3. Step 3: Cross multiply
    23,730x = 51,132 × 51,132
  4. Step 4: Simplify right side
    23,730x = 2,614,481,424
  5. Step 5: Solve for x
    x = 2,614,481,424/23,730
  6. Step 6: Final answer
    x = 110,176.21

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.