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Finding the Third Proportional to 18,133 and 26,411

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Solution

The third proportional to 18,133 and 26,411 is: 38,468.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,133 : 26,411 = 26,411 : x
  2. Step 2: Convert to fraction form
    18,133/26,411 = 26,411/x
  3. Step 3: Cross multiply
    18,133x = 26,411 × 26,411
  4. Step 4: Simplify right side
    18,133x = 697,540,921
  5. Step 5: Solve for x
    x = 697,540,921/18,133
  6. Step 6: Final answer
    x = 38,468.04

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.