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Finding the Third Proportional to 30,100.50 and 65,949.75

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Solution

The third proportional to 30,100.50 and 65,949.75 is: 144,494.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,100.50 : 65,949.75 = 65,949.75 : x
  2. Step 2: Convert to fraction form
    30,100.50/65,949.75 = 65,949.75/x
  3. Step 3: Cross multiply
    30,100.50x = 65,949.75 × 65,949.75
  4. Step 4: Simplify right side
    30,100.50x = 4,349,369,525.06
  5. Step 5: Solve for x
    x = 4,349,369,525.06/30,100.50
  6. Step 6: Final answer
    x = 144,494.93

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.