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Finding the Third Proportional to 45,333 and 63,726.75

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Solution

The third proportional to 45,333 and 63,726.75 is: 89,583.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,333 : 63,726.75 = 63,726.75 : x
  2. Step 2: Convert to fraction form
    45,333/63,726.75 = 63,726.75/x
  3. Step 3: Cross multiply
    45,333x = 63,726.75 × 63,726.75
  4. Step 4: Simplify right side
    45,333x = 4,061,098,665.56
  5. Step 5: Solve for x
    x = 4,061,098,665.56/45,333
  6. Step 6: Final answer
    x = 89,583.72

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.