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Finding the Third Proportional to 11,689.88 and 25,160.63

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Solution

The third proportional to 11,689.88 and 25,160.63 is: 54,154.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,689.88 : 25,160.63 = 25,160.63 : x
  2. Step 2: Convert to fraction form
    11,689.88/25,160.63 = 25,160.63/x
  3. Step 3: Cross multiply
    11,689.88x = 25,160.63 × 25,160.63
  4. Step 4: Simplify right side
    11,689.88x = 633,057,050.39
  5. Step 5: Solve for x
    x = 633,057,050.39/11,689.88
  6. Step 6: Final answer
    x = 54,154.30

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.