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Finding the Third Proportional to 23,136 and 47,360

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Solution

The third proportional to 23,136 and 47,360 is: 96,947.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,136 : 47,360 = 47,360 : x
  2. Step 2: Convert to fraction form
    23,136/47,360 = 47,360/x
  3. Step 3: Cross multiply
    23,136x = 47,360 × 47,360
  4. Step 4: Simplify right side
    23,136x = 2,242,969,600
  5. Step 5: Solve for x
    x = 2,242,969,600/23,136
  6. Step 6: Final answer
    x = 96,947.16

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.