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Finding the Third Proportional to 10,056.66 and 21,654.84

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Solution

The third proportional to 10,056.66 and 21,654.84 is: 46,629.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,056.66 : 21,654.84 = 21,654.84 : x
  2. Step 2: Convert to fraction form
    10,056.66/21,654.84 = 21,654.84/x
  3. Step 3: Cross multiply
    10,056.66x = 21,654.84 × 21,654.84
  4. Step 4: Simplify right side
    10,056.66x = 468,932,257.84
  5. Step 5: Solve for x
    x = 468,932,257.84/10,056.66
  6. Step 6: Final answer
    x = 46,629.04

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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.