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Finding the Third Proportional to 45,784.50 and 68,631

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Solution

The third proportional to 45,784.50 and 68,631 is: 102,877.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,784.50 : 68,631 = 68,631 : x
  2. Step 2: Convert to fraction form
    45,784.50/68,631 = 68,631/x
  3. Step 3: Cross multiply
    45,784.50x = 68,631 × 68,631
  4. Step 4: Simplify right side
    45,784.50x = 4,710,214,161
  5. Step 5: Solve for x
    x = 4,710,214,161/45,784.50
  6. Step 6: Final answer
    x = 102,877.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.