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Finding the Third Proportional to 23,154 and 35,875

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Solution

The third proportional to 23,154 and 35,875 is: 55,585.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,154 : 35,875 = 35,875 : x
  2. Step 2: Convert to fraction form
    23,154/35,875 = 35,875/x
  3. Step 3: Cross multiply
    23,154x = 35,875 × 35,875
  4. Step 4: Simplify right side
    23,154x = 1,287,015,625
  5. Step 5: Solve for x
    x = 1,287,015,625/23,154
  6. Step 6: Final answer
    x = 55,585.02

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.