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Finding the Third Proportional to 19,615.50 and 45,069.75

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Solution

The third proportional to 19,615.50 and 45,069.75 is: 103,554.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,615.50 : 45,069.75 = 45,069.75 : x
  2. Step 2: Convert to fraction form
    19,615.50/45,069.75 = 45,069.75/x
  3. Step 3: Cross multiply
    19,615.50x = 45,069.75 × 45,069.75
  4. Step 4: Simplify right side
    19,615.50x = 2,031,282,365.06
  5. Step 5: Solve for x
    x = 2,031,282,365.06/19,615.50
  6. Step 6: Final answer
    x = 103,554.96

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These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.