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Finding the Third Proportional to 11,688.38 and 25,649.63

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Solution

The third proportional to 11,688.38 and 25,649.63 is: 56,286.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,688.38 : 25,649.63 = 25,649.63 : x
  2. Step 2: Convert to fraction form
    11,688.38/25,649.63 = 25,649.63/x
  3. Step 3: Cross multiply
    11,688.38x = 25,649.63 × 25,649.63
  4. Step 4: Simplify right side
    11,688.38x = 657,903,262.64
  5. Step 5: Solve for x
    x = 657,903,262.64/11,688.38
  6. Step 6: Final answer
    x = 56,286.97

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.