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Finding the Third Proportional to 9,614 and 14,513

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Solution

The third proportional to 9,614 and 14,513 is: 21,908.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,614 : 14,513 = 14,513 : x
  2. Step 2: Convert to fraction form
    9,614/14,513 = 14,513/x
  3. Step 3: Cross multiply
    9,614x = 14,513 × 14,513
  4. Step 4: Simplify right side
    9,614x = 210,627,169
  5. Step 5: Solve for x
    x = 210,627,169/9,614
  6. Step 6: Final answer
    x = 21,908.38

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.