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Finding the Third Proportional to 43,553 and 63,649

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Solution

The third proportional to 43,553 and 63,649 is: 93,017.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,553 : 63,649 = 63,649 : x
  2. Step 2: Convert to fraction form
    43,553/63,649 = 63,649/x
  3. Step 3: Cross multiply
    43,553x = 63,649 × 63,649
  4. Step 4: Simplify right side
    43,553x = 4,051,195,201
  5. Step 5: Solve for x
    x = 4,051,195,201/43,553
  6. Step 6: Final answer
    x = 93,017.59

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.