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Finding the Third Proportional to 10,007 and 24,013

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Solution

The third proportional to 10,007 and 24,013 is: 57,622.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,007 : 24,013 = 24,013 : x
  2. Step 2: Convert to fraction form
    10,007/24,013 = 24,013/x
  3. Step 3: Cross multiply
    10,007x = 24,013 × 24,013
  4. Step 4: Simplify right side
    10,007x = 576,624,169
  5. Step 5: Solve for x
    x = 576,624,169/10,007
  6. Step 6: Final answer
    x = 57,622.08

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Why These Related Problems?

These problems maintain the same ratio (2.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.