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Finding the Third Proportional to 20,148.75 and 28,491.75

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Solution

The third proportional to 20,148.75 and 28,491.75 is: 40,289.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,148.75 : 28,491.75 = 28,491.75 : x
  2. Step 2: Convert to fraction form
    20,148.75/28,491.75 = 28,491.75/x
  3. Step 3: Cross multiply
    20,148.75x = 28,491.75 × 28,491.75
  4. Step 4: Simplify right side
    20,148.75x = 811,779,818.06
  5. Step 5: Solve for x
    x = 811,779,818.06/20,148.75
  6. Step 6: Final answer
    x = 40,289.34

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.