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Finding the Third Proportional to 11,502.84 and 24,818.06

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Solution

The third proportional to 11,502.84 and 24,818.06 is: 53,546.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,502.84 : 24,818.06 = 24,818.06 : x
  2. Step 2: Convert to fraction form
    11,502.84/24,818.06 = 24,818.06/x
  3. Step 3: Cross multiply
    11,502.84x = 24,818.06 × 24,818.06
  4. Step 4: Simplify right side
    11,502.84x = 615,936,226.25
  5. Step 5: Solve for x
    x = 615,936,226.25/11,502.84
  6. Step 6: Final answer
    x = 53,546.43

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.