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Finding the Third Proportional to 45,210 and 66,893.50

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Solution

The third proportional to 45,210 and 66,893.50 is: 98,976.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,210 : 66,893.50 = 66,893.50 : x
  2. Step 2: Convert to fraction form
    45,210/66,893.50 = 66,893.50/x
  3. Step 3: Cross multiply
    45,210x = 66,893.50 × 66,893.50
  4. Step 4: Simplify right side
    45,210x = 4,474,740,342.25
  5. Step 5: Solve for x
    x = 4,474,740,342.25/45,210
  6. Step 6: Final answer
    x = 98,976.78

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.