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Finding the Third Proportional to 9,782.50 and 20,779.75

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Solution

The third proportional to 9,782.50 and 20,779.75 is: 44,139.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,782.50 : 20,779.75 = 20,779.75 : x
  2. Step 2: Convert to fraction form
    9,782.50/20,779.75 = 20,779.75/x
  3. Step 3: Cross multiply
    9,782.50x = 20,779.75 × 20,779.75
  4. Step 4: Simplify right side
    9,782.50x = 431,798,010.06
  5. Step 5: Solve for x
    x = 431,798,010.06/9,782.50
  6. Step 6: Final answer
    x = 44,139.84

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.