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Finding the Third Proportional to 10,953 and 24,005

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Solution

The third proportional to 10,953 and 24,005 is: 52,610.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,953 : 24,005 = 24,005 : x
  2. Step 2: Convert to fraction form
    10,953/24,005 = 24,005/x
  3. Step 3: Cross multiply
    10,953x = 24,005 × 24,005
  4. Step 4: Simplify right side
    10,953x = 576,240,025
  5. Step 5: Solve for x
    x = 576,240,025/10,953
  6. Step 6: Final answer
    x = 52,610.25

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.