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Finding the Third Proportional to 20,752.50 and 29,650.50

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Solution

The third proportional to 20,752.50 and 29,650.50 is: 42,363.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,752.50 : 29,650.50 = 29,650.50 : x
  2. Step 2: Convert to fraction form
    20,752.50/29,650.50 = 29,650.50/x
  3. Step 3: Cross multiply
    20,752.50x = 29,650.50 × 29,650.50
  4. Step 4: Simplify right side
    20,752.50x = 879,152,150.25
  5. Step 5: Solve for x
    x = 879,152,150.25/20,752.50
  6. Step 6: Final answer
    x = 42,363.67

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.