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Finding the Third Proportional to 8,411 and 18,358

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Solution

The third proportional to 8,411 and 18,358 is: 40,068.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,411 : 18,358 = 18,358 : x
  2. Step 2: Convert to fraction form
    8,411/18,358 = 18,358/x
  3. Step 3: Cross multiply
    8,411x = 18,358 × 18,358
  4. Step 4: Simplify right side
    8,411x = 337,016,164
  5. Step 5: Solve for x
    x = 337,016,164/8,411
  6. Step 6: Final answer
    x = 40,068.50

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.