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Finding the Third Proportional to 24,827.63 and 38,467.69

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Solution

The third proportional to 24,827.63 and 38,467.69 is: 59,601.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,827.63 : 38,467.69 = 38,467.69 : x
  2. Step 2: Convert to fraction form
    24,827.63/38,467.69 = 38,467.69/x
  3. Step 3: Cross multiply
    24,827.63x = 38,467.69 × 38,467.69
  4. Step 4: Simplify right side
    24,827.63x = 1,479,762,981.60
  5. Step 5: Solve for x
    x = 1,479,762,981.60/24,827.63
  6. Step 6: Final answer
    x = 59,601.47

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.