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Finding the Third Proportional to 6,545 and 13,513

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Solution

The third proportional to 6,545 and 13,513 is: 27,899.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,545 : 13,513 = 13,513 : x
  2. Step 2: Convert to fraction form
    6,545/13,513 = 13,513/x
  3. Step 3: Cross multiply
    6,545x = 13,513 × 13,513
  4. Step 4: Simplify right side
    6,545x = 182,601,169
  5. Step 5: Solve for x
    x = 182,601,169/6,545
  6. Step 6: Final answer
    x = 27,899.34

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.