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Finding the Third Proportional to 11,687.63 and 30,688.50

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Solution

The third proportional to 11,687.63 and 30,688.50 is: 80,579.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,687.63 : 30,688.50 = 30,688.50 : x
  2. Step 2: Convert to fraction form
    11,687.63/30,688.50 = 30,688.50/x
  3. Step 3: Cross multiply
    11,687.63x = 30,688.50 × 30,688.50
  4. Step 4: Simplify right side
    11,687.63x = 941,784,032.25
  5. Step 5: Solve for x
    x = 941,784,032.25/11,687.63
  6. Step 6: Final answer
    x = 80,579.59

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Why These Related Problems?

These problems maintain the same ratio (2.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.