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Finding the Third Proportional to 11,543.25 and 24,931.50

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Solution

The third proportional to 11,543.25 and 24,931.50 is: 53,847.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,543.25 : 24,931.50 = 24,931.50 : x
  2. Step 2: Convert to fraction form
    11,543.25/24,931.50 = 24,931.50/x
  3. Step 3: Cross multiply
    11,543.25x = 24,931.50 × 24,931.50
  4. Step 4: Simplify right side
    11,543.25x = 621,579,692.25
  5. Step 5: Solve for x
    x = 621,579,692.25/11,543.25
  6. Step 6: Final answer
    x = 53,847.89

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.