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Finding the Third Proportional to 23,120 and 35,114

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Solution

The third proportional to 23,120 and 35,114 is: 53,330.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,120 : 35,114 = 35,114 : x
  2. Step 2: Convert to fraction form
    23,120/35,114 = 35,114/x
  3. Step 3: Cross multiply
    23,120x = 35,114 × 35,114
  4. Step 4: Simplify right side
    23,120x = 1,232,992,996
  5. Step 5: Solve for x
    x = 1,232,992,996/23,120
  6. Step 6: Final answer
    x = 53,330.15

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.