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Finding the Third Proportional to 30,219 and 40,567.50

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Solution

The third proportional to 30,219 and 40,567.50 is: 54,459.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,219 : 40,567.50 = 40,567.50 : x
  2. Step 2: Convert to fraction form
    30,219/40,567.50 = 40,567.50/x
  3. Step 3: Cross multiply
    30,219x = 40,567.50 × 40,567.50
  4. Step 4: Simplify right side
    30,219x = 1,645,722,056.25
  5. Step 5: Solve for x
    x = 1,645,722,056.25/30,219
  6. Step 6: Final answer
    x = 54,459.85

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.