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Finding the Third Proportional to 18,416 and 39,772

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Solution

The third proportional to 18,416 and 39,772 is: 85,893.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,416 : 39,772 = 39,772 : x
  2. Step 2: Convert to fraction form
    18,416/39,772 = 39,772/x
  3. Step 3: Cross multiply
    18,416x = 39,772 × 39,772
  4. Step 4: Simplify right side
    18,416x = 1,581,811,984
  5. Step 5: Solve for x
    x = 1,581,811,984/18,416
  6. Step 6: Final answer
    x = 85,893.35

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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.