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Finding the Third Proportional to 8,526 and 13,062

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Solution

The third proportional to 8,526 and 13,062 is: 20,011.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,526 : 13,062 = 13,062 : x
  2. Step 2: Convert to fraction form
    8,526/13,062 = 13,062/x
  3. Step 3: Cross multiply
    8,526x = 13,062 × 13,062
  4. Step 4: Simplify right side
    8,526x = 170,615,844
  5. Step 5: Solve for x
    x = 170,615,844/8,526
  6. Step 6: Final answer
    x = 20,011.24

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.