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Finding the Third Proportional to 20,730 and 25,243.50

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Solution

The third proportional to 20,730 and 25,243.50 is: 30,739.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,730 : 25,243.50 = 25,243.50 : x
  2. Step 2: Convert to fraction form
    20,730/25,243.50 = 25,243.50/x
  3. Step 3: Cross multiply
    20,730x = 25,243.50 × 25,243.50
  4. Step 4: Simplify right side
    20,730x = 637,234,292.25
  5. Step 5: Solve for x
    x = 637,234,292.25/20,730
  6. Step 6: Final answer
    x = 30,739.72

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Why These Related Problems?

These problems maintain the same ratio (1.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.