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Finding the Third Proportional to 21,758.63 and 48,843

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Solution

The third proportional to 21,758.63 and 48,843 is: 109,641.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,758.63 : 48,843 = 48,843 : x
  2. Step 2: Convert to fraction form
    21,758.63/48,843 = 48,843/x
  3. Step 3: Cross multiply
    21,758.63x = 48,843 × 48,843
  4. Step 4: Simplify right side
    21,758.63x = 2,385,638,649
  5. Step 5: Solve for x
    x = 2,385,638,649/21,758.63
  6. Step 6: Final answer
    x = 109,641.06

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Why These Related Problems?

These problems maintain the same ratio (2.24) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.