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Finding the Third Proportional to 16,962.75 and 38,093.63

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Solution

The third proportional to 16,962.75 and 38,093.63 is: 85,547.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,962.75 : 38,093.63 = 38,093.63 : x
  2. Step 2: Convert to fraction form
    16,962.75/38,093.63 = 38,093.63/x
  3. Step 3: Cross multiply
    16,962.75x = 38,093.63 × 38,093.63
  4. Step 4: Simplify right side
    16,962.75x = 1,451,124,265.64
  5. Step 5: Solve for x
    x = 1,451,124,265.64/16,962.75
  6. Step 6: Final answer
    x = 85,547.70

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Why These Related Problems?

These problems maintain the same ratio (2.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.