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Finding the Third Proportional to 10,056.94 and 21,449.81

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Solution

The third proportional to 10,056.94 and 21,449.81 is: 45,748.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,056.94 : 21,449.81 = 21,449.81 : x
  2. Step 2: Convert to fraction form
    10,056.94/21,449.81 = 21,449.81/x
  3. Step 3: Cross multiply
    10,056.94x = 21,449.81 × 21,449.81
  4. Step 4: Simplify right side
    10,056.94x = 460,094,456.29
  5. Step 5: Solve for x
    x = 460,094,456.29/10,056.94
  6. Step 6: Final answer
    x = 45,748.96

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.