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Finding the Third Proportional to 23,480 and 50,660

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Solution

The third proportional to 23,480 and 50,660 is: 109,303.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,480 : 50,660 = 50,660 : x
  2. Step 2: Convert to fraction form
    23,480/50,660 = 50,660/x
  3. Step 3: Cross multiply
    23,480x = 50,660 × 50,660
  4. Step 4: Simplify right side
    23,480x = 2,566,435,600
  5. Step 5: Solve for x
    x = 2,566,435,600/23,480
  6. Step 6: Final answer
    x = 109,303.05

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.