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Finding the Third Proportional to 16,089.47 and 24,613.03

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Solution

The third proportional to 16,089.47 and 24,613.03 is: 37,652.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,089.47 : 24,613.03 = 24,613.03 : x
  2. Step 2: Convert to fraction form
    16,089.47/24,613.03 = 24,613.03/x
  3. Step 3: Cross multiply
    16,089.47x = 24,613.03 × 24,613.03
  4. Step 4: Simplify right side
    16,089.47x = 605,801,307.31
  5. Step 5: Solve for x
    x = 605,801,307.31/16,089.47
  6. Step 6: Final answer
    x = 37,652.04

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.