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Finding the Third Proportional to 11,446.88 and 24,536.63

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Solution

The third proportional to 11,446.88 and 24,536.63 is: 52,594.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,446.88 : 24,536.63 = 24,536.63 : x
  2. Step 2: Convert to fraction form
    11,446.88/24,536.63 = 24,536.63/x
  3. Step 3: Cross multiply
    11,446.88x = 24,536.63 × 24,536.63
  4. Step 4: Simplify right side
    11,446.88x = 602,045,966.39
  5. Step 5: Solve for x
    x = 602,045,966.39/11,446.88
  6. Step 6: Final answer
    x = 52,594.79

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.