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Finding the Third Proportional to 15,235 and 23,285

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Solution

The third proportional to 15,235 and 23,285 is: 35,588.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,235 : 23,285 = 23,285 : x
  2. Step 2: Convert to fraction form
    15,235/23,285 = 23,285/x
  3. Step 3: Cross multiply
    15,235x = 23,285 × 23,285
  4. Step 4: Simplify right side
    15,235x = 542,191,225
  5. Step 5: Solve for x
    x = 542,191,225/15,235
  6. Step 6: Final answer
    x = 35,588.53

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.