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Finding the Third Proportional to 8,413 and 18,202

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Solution

The third proportional to 8,413 and 18,202 is: 39,381.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,413 : 18,202 = 18,202 : x
  2. Step 2: Convert to fraction form
    8,413/18,202 = 18,202/x
  3. Step 3: Cross multiply
    8,413x = 18,202 × 18,202
  4. Step 4: Simplify right side
    8,413x = 331,312,804
  5. Step 5: Solve for x
    x = 331,312,804/8,413
  6. Step 6: Final answer
    x = 39,381.05

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.