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Finding the Third Proportional to 30,205.50 and 68,244.38

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Solution

The third proportional to 30,205.50 and 68,244.38 is: 154,186.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,205.50 : 68,244.38 = 68,244.38 : x
  2. Step 2: Convert to fraction form
    30,205.50/68,244.38 = 68,244.38/x
  3. Step 3: Cross multiply
    30,205.50x = 68,244.38 × 68,244.38
  4. Step 4: Simplify right side
    30,205.50x = 4,657,294,719.14
  5. Step 5: Solve for x
    x = 4,657,294,719.14/30,205.50
  6. Step 6: Final answer
    x = 154,186.98

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.