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Finding the Third Proportional to 11,191.50 and 24,567.75

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Solution

The third proportional to 11,191.50 and 24,567.75 is: 53,931.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,191.50 : 24,567.75 = 24,567.75 : x
  2. Step 2: Convert to fraction form
    11,191.50/24,567.75 = 24,567.75/x
  3. Step 3: Cross multiply
    11,191.50x = 24,567.75 × 24,567.75
  4. Step 4: Simplify right side
    11,191.50x = 603,574,340.06
  5. Step 5: Solve for x
    x = 603,574,340.06/11,191.50
  6. Step 6: Final answer
    x = 53,931.50

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.