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Finding the Third Proportional to 33,700 and 51,955.50

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Solution

The third proportional to 33,700 and 51,955.50 is: 80,100.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,700 : 51,955.50 = 51,955.50 : x
  2. Step 2: Convert to fraction form
    33,700/51,955.50 = 51,955.50/x
  3. Step 3: Cross multiply
    33,700x = 51,955.50 × 51,955.50
  4. Step 4: Simplify right side
    33,700x = 2,699,373,980.25
  5. Step 5: Solve for x
    x = 2,699,373,980.25/33,700
  6. Step 6: Final answer
    x = 80,100.12

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.