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Finding the Third Proportional to 19,755 and 47,607.75

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Solution

The third proportional to 19,755 and 47,607.75 is: 114,730.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,755 : 47,607.75 = 47,607.75 : x
  2. Step 2: Convert to fraction form
    19,755/47,607.75 = 47,607.75/x
  3. Step 3: Cross multiply
    19,755x = 47,607.75 × 47,607.75
  4. Step 4: Simplify right side
    19,755x = 2,266,497,860.06
  5. Step 5: Solve for x
    x = 2,266,497,860.06/19,755
  6. Step 6: Final answer
    x = 114,730.34

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.