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Finding the Third Proportional to 21,905.44 and 47,638.13

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Solution

The third proportional to 21,905.44 and 47,638.13 is: 103,599.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,905.44 : 47,638.13 = 47,638.13 : x
  2. Step 2: Convert to fraction form
    21,905.44/47,638.13 = 47,638.13/x
  3. Step 3: Cross multiply
    21,905.44x = 47,638.13 × 47,638.13
  4. Step 4: Simplify right side
    21,905.44x = 2,269,390,953.52
  5. Step 5: Solve for x
    x = 2,269,390,953.52/21,905.44
  6. Step 6: Final answer
    x = 103,599.44

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.