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Finding the Third Proportional to 10,055.81 and 21,447.28

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Solution

The third proportional to 10,055.81 and 21,447.28 is: 45,743.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,055.81 : 21,447.28 = 21,447.28 : x
  2. Step 2: Convert to fraction form
    10,055.81/21,447.28 = 21,447.28/x
  3. Step 3: Cross multiply
    10,055.81x = 21,447.28 × 21,447.28
  4. Step 4: Simplify right side
    10,055.81x = 459,985,873.02
  5. Step 5: Solve for x
    x = 459,985,873.02/10,055.81
  6. Step 6: Final answer
    x = 45,743.28

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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.