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Finding the Third Proportional to 18,413 and 40,045

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Solution

The third proportional to 18,413 and 40,045 is: 87,090.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,413 : 40,045 = 40,045 : x
  2. Step 2: Convert to fraction form
    18,413/40,045 = 40,045/x
  3. Step 3: Cross multiply
    18,413x = 40,045 × 40,045
  4. Step 4: Simplify right side
    18,413x = 1,603,602,025
  5. Step 5: Solve for x
    x = 1,603,602,025/18,413
  6. Step 6: Final answer
    x = 87,090.75

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.