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Finding the Third Proportional to 18,411 and 39,284

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Solution

The third proportional to 18,411 and 39,284 is: 83,821.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,411 : 39,284 = 39,284 : x
  2. Step 2: Convert to fraction form
    18,411/39,284 = 39,284/x
  3. Step 3: Cross multiply
    18,411x = 39,284 × 39,284
  4. Step 4: Simplify right side
    18,411x = 1,543,232,656
  5. Step 5: Solve for x
    x = 1,543,232,656/18,411
  6. Step 6: Final answer
    x = 83,821.23

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.