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Finding the Third Proportional to 10,746 and 23,418

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Solution

The third proportional to 10,746 and 23,418 is: 51,033.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,746 : 23,418 = 23,418 : x
  2. Step 2: Convert to fraction form
    10,746/23,418 = 23,418/x
  3. Step 3: Cross multiply
    10,746x = 23,418 × 23,418
  4. Step 4: Simplify right side
    10,746x = 548,402,724
  5. Step 5: Solve for x
    x = 548,402,724/10,746
  6. Step 6: Final answer
    x = 51,033.20

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.