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Finding the Third Proportional to 11,424 and 24,712

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Solution

The third proportional to 11,424 and 24,712 is: 53,456.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,424 : 24,712 = 24,712 : x
  2. Step 2: Convert to fraction form
    11,424/24,712 = 24,712/x
  3. Step 3: Cross multiply
    11,424x = 24,712 × 24,712
  4. Step 4: Simplify right side
    11,424x = 610,682,944
  5. Step 5: Solve for x
    x = 610,682,944/11,424
  6. Step 6: Final answer
    x = 53,456.14

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.