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Finding the Third Proportional to 23,655 and 35,486

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Solution

The third proportional to 23,655 and 35,486 is: 53,234.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,655 : 35,486 = 35,486 : x
  2. Step 2: Convert to fraction form
    23,655/35,486 = 35,486/x
  3. Step 3: Cross multiply
    23,655x = 35,486 × 35,486
  4. Step 4: Simplify right side
    23,655x = 1,259,256,196
  5. Step 5: Solve for x
    x = 1,259,256,196/23,655
  6. Step 6: Final answer
    x = 53,234.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.