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Finding the Third Proportional to 30,919.50 and 53,761.50

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Solution

The third proportional to 30,919.50 and 53,761.50 is: 93,478.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,919.50 : 53,761.50 = 53,761.50 : x
  2. Step 2: Convert to fraction form
    30,919.50/53,761.50 = 53,761.50/x
  3. Step 3: Cross multiply
    30,919.50x = 53,761.50 × 53,761.50
  4. Step 4: Simplify right side
    30,919.50x = 2,890,298,882.25
  5. Step 5: Solve for x
    x = 2,890,298,882.25/30,919.50
  6. Step 6: Final answer
    x = 93,478.19

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These problems maintain the same ratio (1.74) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.