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Finding the Third Proportional to 13,637 and 20,007

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Solution

The third proportional to 13,637 and 20,007 is: 29,352.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,637 : 20,007 = 20,007 : x
  2. Step 2: Convert to fraction form
    13,637/20,007 = 20,007/x
  3. Step 3: Cross multiply
    13,637x = 20,007 × 20,007
  4. Step 4: Simplify right side
    13,637x = 400,280,049
  5. Step 5: Solve for x
    x = 400,280,049/13,637
  6. Step 6: Final answer
    x = 29,352.50

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.