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Finding the Third Proportional to 10,173 and 24,501

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Solution

The third proportional to 10,173 and 24,501 is: 59,009.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,173 : 24,501 = 24,501 : x
  2. Step 2: Convert to fraction form
    10,173/24,501 = 24,501/x
  3. Step 3: Cross multiply
    10,173x = 24,501 × 24,501
  4. Step 4: Simplify right side
    10,173x = 600,299,001
  5. Step 5: Solve for x
    x = 600,299,001/10,173
  6. Step 6: Final answer
    x = 59,009.04

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.