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Finding the Third Proportional to 16,445 and 35,662

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Solution

The third proportional to 16,445 and 35,662 is: 77,335.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,445 : 35,662 = 35,662 : x
  2. Step 2: Convert to fraction form
    16,445/35,662 = 35,662/x
  3. Step 3: Cross multiply
    16,445x = 35,662 × 35,662
  4. Step 4: Simplify right side
    16,445x = 1,271,778,244
  5. Step 5: Solve for x
    x = 1,271,778,244/16,445
  6. Step 6: Final answer
    x = 77,335.25

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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.