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Finding the Third Proportional to 30,220.50 and 52,459.50

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Solution

The third proportional to 30,220.50 and 52,459.50 is: 91,063.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,220.50 : 52,459.50 = 52,459.50 : x
  2. Step 2: Convert to fraction form
    30,220.50/52,459.50 = 52,459.50/x
  3. Step 3: Cross multiply
    30,220.50x = 52,459.50 × 52,459.50
  4. Step 4: Simplify right side
    30,220.50x = 2,751,999,140.25
  5. Step 5: Solve for x
    x = 2,751,999,140.25/30,220.50
  6. Step 6: Final answer
    x = 91,063.98

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Why These Related Problems?

These problems maintain the same ratio (1.74) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.