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Finding the Third Proportional to 20,779.50 and 31,164

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Solution

The third proportional to 20,779.50 and 31,164 is: 46,738.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,779.50 : 31,164 = 31,164 : x
  2. Step 2: Convert to fraction form
    20,779.50/31,164 = 31,164/x
  3. Step 3: Cross multiply
    20,779.50x = 31,164 × 31,164
  4. Step 4: Simplify right side
    20,779.50x = 971,194,896
  5. Step 5: Solve for x
    x = 971,194,896/20,779.50
  6. Step 6: Final answer
    x = 46,738.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.