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Finding the Third Proportional to 18,264 and 23,985

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Solution

The third proportional to 18,264 and 23,985 is: 31,498.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,264 : 23,985 = 23,985 : x
  2. Step 2: Convert to fraction form
    18,264/23,985 = 23,985/x
  3. Step 3: Cross multiply
    18,264x = 23,985 × 23,985
  4. Step 4: Simplify right side
    18,264x = 575,280,225
  5. Step 5: Solve for x
    x = 575,280,225/18,264
  6. Step 6: Final answer
    x = 31,498.04

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.