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Finding the Third Proportional to 11,437.88 and 24,809.63

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Solution

The third proportional to 11,437.88 and 24,809.63 is: 53,813.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,437.88 : 24,809.63 = 24,809.63 : x
  2. Step 2: Convert to fraction form
    11,437.88/24,809.63 = 24,809.63/x
  3. Step 3: Cross multiply
    11,437.88x = 24,809.63 × 24,809.63
  4. Step 4: Simplify right side
    11,437.88x = 615,517,492.64
  5. Step 5: Solve for x
    x = 615,517,492.64/11,437.88
  6. Step 6: Final answer
    x = 53,813.97

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.