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Finding the Third Proportional to 41,973 and 63,363.75

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Solution

The third proportional to 41,973 and 63,363.75 is: 95,655.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,973 : 63,363.75 = 63,363.75 : x
  2. Step 2: Convert to fraction form
    41,973/63,363.75 = 63,363.75/x
  3. Step 3: Cross multiply
    41,973x = 63,363.75 × 63,363.75
  4. Step 4: Simplify right side
    41,973x = 4,014,964,814.06
  5. Step 5: Solve for x
    x = 4,014,964,814.06/41,973
  6. Step 6: Final answer
    x = 95,655.89

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.