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Finding the Third Proportional to 30,955.50 and 67,845

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Solution

The third proportional to 30,955.50 and 67,845 is: 148,695.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,955.50 : 67,845 = 67,845 : x
  2. Step 2: Convert to fraction form
    30,955.50/67,845 = 67,845/x
  3. Step 3: Cross multiply
    30,955.50x = 67,845 × 67,845
  4. Step 4: Simplify right side
    30,955.50x = 4,602,944,025
  5. Step 5: Solve for x
    x = 4,602,944,025/30,955.50
  6. Step 6: Final answer
    x = 148,695.52

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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.