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Finding the Third Proportional to 24,399 and 32,827.50

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Solution

The third proportional to 24,399 and 32,827.50 is: 44,167.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,399 : 32,827.50 = 32,827.50 : x
  2. Step 2: Convert to fraction form
    24,399/32,827.50 = 32,827.50/x
  3. Step 3: Cross multiply
    24,399x = 32,827.50 × 32,827.50
  4. Step 4: Simplify right side
    24,399x = 1,077,644,756.25
  5. Step 5: Solve for x
    x = 1,077,644,756.25/24,399
  6. Step 6: Final answer
    x = 44,167.58

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.