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Finding the Third Proportional to 10,047.80 and 21,479.48

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Solution

The third proportional to 10,047.80 and 21,479.48 is: 45,917.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,047.80 : 21,479.48 = 21,479.48 : x
  2. Step 2: Convert to fraction form
    10,047.80/21,479.48 = 21,479.48/x
  3. Step 3: Cross multiply
    10,047.80x = 21,479.48 × 21,479.48
  4. Step 4: Simplify right side
    10,047.80x = 461,368,249.02
  5. Step 5: Solve for x
    x = 461,368,249.02/10,047.80
  6. Step 6: Final answer
    x = 45,917.35

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.