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Finding the Third Proportional to 19,475.50 and 43,459.75

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Solution

The third proportional to 19,475.50 and 43,459.75 is: 96,980.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,475.50 : 43,459.75 = 43,459.75 : x
  2. Step 2: Convert to fraction form
    19,475.50/43,459.75 = 43,459.75/x
  3. Step 3: Cross multiply
    19,475.50x = 43,459.75 × 43,459.75
  4. Step 4: Simplify right side
    19,475.50x = 1,888,749,870.06
  5. Step 5: Solve for x
    x = 1,888,749,870.06/19,475.50
  6. Step 6: Final answer
    x = 96,980.82

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These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.