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Finding the Third Proportional to 30,649.50 and 69,421.50

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Solution

The third proportional to 30,649.50 and 69,421.50 is: 157,240.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,649.50 : 69,421.50 = 69,421.50 : x
  2. Step 2: Convert to fraction form
    30,649.50/69,421.50 = 69,421.50/x
  3. Step 3: Cross multiply
    30,649.50x = 69,421.50 × 69,421.50
  4. Step 4: Simplify right side
    30,649.50x = 4,819,344,662.25
  5. Step 5: Solve for x
    x = 4,819,344,662.25/30,649.50
  6. Step 6: Final answer
    x = 157,240.56

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These problems maintain the same ratio (2.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.