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Finding the Third Proportional to 20,003 and 28,812.50

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Solution

The third proportional to 20,003 and 28,812.50 is: 41,501.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,003 : 28,812.50 = 28,812.50 : x
  2. Step 2: Convert to fraction form
    20,003/28,812.50 = 28,812.50/x
  3. Step 3: Cross multiply
    20,003x = 28,812.50 × 28,812.50
  4. Step 4: Simplify right side
    20,003x = 830,160,156.25
  5. Step 5: Solve for x
    x = 830,160,156.25/20,003
  6. Step 6: Final answer
    x = 41,501.78

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.