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Finding the Third Proportional to 17,059.78 and 27,000.84

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Solution

The third proportional to 17,059.78 and 27,000.84 is: 42,734.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,059.78 : 27,000.84 = 27,000.84 : x
  2. Step 2: Convert to fraction form
    17,059.78/27,000.84 = 27,000.84/x
  3. Step 3: Cross multiply
    17,059.78x = 27,000.84 × 27,000.84
  4. Step 4: Simplify right side
    17,059.78x = 729,045,563.21
  5. Step 5: Solve for x
    x = 729,045,563.21/17,059.78
  6. Step 6: Final answer
    x = 42,734.75

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.