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Finding the Third Proportional to 23,352 and 48,360

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Solution

The third proportional to 23,352 and 48,360 is: 100,149.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,352 : 48,360 = 48,360 : x
  2. Step 2: Convert to fraction form
    23,352/48,360 = 48,360/x
  3. Step 3: Cross multiply
    23,352x = 48,360 × 48,360
  4. Step 4: Simplify right side
    23,352x = 2,338,689,600
  5. Step 5: Solve for x
    x = 2,338,689,600/23,352
  6. Step 6: Final answer
    x = 100,149.43

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.