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Finding the Third Proportional to 19,308.50 and 45,107.50

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Solution

The third proportional to 19,308.50 and 45,107.50 is: 105,377.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,308.50 : 45,107.50 = 45,107.50 : x
  2. Step 2: Convert to fraction form
    19,308.50/45,107.50 = 45,107.50/x
  3. Step 3: Cross multiply
    19,308.50x = 45,107.50 × 45,107.50
  4. Step 4: Simplify right side
    19,308.50x = 2,034,686,556.25
  5. Step 5: Solve for x
    x = 2,034,686,556.25/19,308.50
  6. Step 6: Final answer
    x = 105,377.76

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These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.