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Finding the Third Proportional to 12,280 and 18,365

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Solution

The third proportional to 12,280 and 18,365 is: 27,465.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,280 : 18,365 = 18,365 : x
  2. Step 2: Convert to fraction form
    12,280/18,365 = 18,365/x
  3. Step 3: Cross multiply
    12,280x = 18,365 × 18,365
  4. Step 4: Simplify right side
    12,280x = 337,273,225
  5. Step 5: Solve for x
    x = 337,273,225/12,280
  6. Step 6: Final answer
    x = 27,465.25

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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.