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Finding the Third Proportional to 45,997.88 and 69,403.50

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Solution

The third proportional to 45,997.88 and 69,403.50 is: 104,718.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,997.88 : 69,403.50 = 69,403.50 : x
  2. Step 2: Convert to fraction form
    45,997.88/69,403.50 = 69,403.50/x
  3. Step 3: Cross multiply
    45,997.88x = 69,403.50 × 69,403.50
  4. Step 4: Simplify right side
    45,997.88x = 4,816,845,812.25
  5. Step 5: Solve for x
    x = 4,816,845,812.25/45,997.88
  6. Step 6: Final answer
    x = 104,718.88

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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.