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Finding the Third Proportional to 30,220 and 65,816.50

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Solution

The third proportional to 30,220 and 65,816.50 is: 143,342.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,220 : 65,816.50 = 65,816.50 : x
  2. Step 2: Convert to fraction form
    30,220/65,816.50 = 65,816.50/x
  3. Step 3: Cross multiply
    30,220x = 65,816.50 × 65,816.50
  4. Step 4: Simplify right side
    30,220x = 4,331,811,672.25
  5. Step 5: Solve for x
    x = 4,331,811,672.25/30,220
  6. Step 6: Final answer
    x = 143,342.54

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.