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Finding the Third Proportional to 43,736.50 and 94,385

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Solution

The third proportional to 43,736.50 and 94,385 is: 203,686.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,736.50 : 94,385 = 94,385 : x
  2. Step 2: Convert to fraction form
    43,736.50/94,385 = 94,385/x
  3. Step 3: Cross multiply
    43,736.50x = 94,385 × 94,385
  4. Step 4: Simplify right side
    43,736.50x = 8,908,528,225
  5. Step 5: Solve for x
    x = 8,908,528,225/43,736.50
  6. Step 6: Final answer
    x = 203,686.35

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.