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Finding the Third Proportional to 9,741.94 and 20,779.88

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Solution

The third proportional to 9,741.94 and 20,779.88 is: 44,324.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,741.94 : 20,779.88 = 20,779.88 : x
  2. Step 2: Convert to fraction form
    9,741.94/20,779.88 = 20,779.88/x
  3. Step 3: Cross multiply
    9,741.94x = 20,779.88 × 20,779.88
  4. Step 4: Simplify right side
    9,741.94x = 431,803,205.02
  5. Step 5: Solve for x
    x = 431,803,205.02/9,741.94
  6. Step 6: Final answer
    x = 44,324.16

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.