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Finding the Third Proportional to 16,413 and 24,613.50

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Solution

The third proportional to 16,413 and 24,613.50 is: 36,911.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,413 : 24,613.50 = 24,613.50 : x
  2. Step 2: Convert to fraction form
    16,413/24,613.50 = 24,613.50/x
  3. Step 3: Cross multiply
    16,413x = 24,613.50 × 24,613.50
  4. Step 4: Simplify right side
    16,413x = 605,824,382.25
  5. Step 5: Solve for x
    x = 605,824,382.25/16,413
  6. Step 6: Final answer
    x = 36,911.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.