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Finding the Third Proportional to 21,853.13 and 47,876.63

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Solution

The third proportional to 21,853.13 and 47,876.63 is: 104,889.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,853.13 : 47,876.63 = 47,876.63 : x
  2. Step 2: Convert to fraction form
    21,853.13/47,876.63 = 47,876.63/x
  3. Step 3: Cross multiply
    21,853.13x = 47,876.63 × 47,876.63
  4. Step 4: Simplify right side
    21,853.13x = 2,292,171,221.39
  5. Step 5: Solve for x
    x = 2,292,171,221.39/21,853.13
  6. Step 6: Final answer
    x = 104,889.86

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.