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Finding the Third Proportional to 12,413 and 20,011

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Solution

The third proportional to 12,413 and 20,011 is: 32,259.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,413 : 20,011 = 20,011 : x
  2. Step 2: Convert to fraction form
    12,413/20,011 = 20,011/x
  3. Step 3: Cross multiply
    12,413x = 20,011 × 20,011
  4. Step 4: Simplify right side
    12,413x = 400,440,121
  5. Step 5: Solve for x
    x = 400,440,121/12,413
  6. Step 6: Final answer
    x = 32,259.74

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.