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Finding the Third Proportional to 6,526 and 9,586

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Solution

The third proportional to 6,526 and 9,586 is: 14,080.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,526 : 9,586 = 9,586 : x
  2. Step 2: Convert to fraction form
    6,526/9,586 = 9,586/x
  3. Step 3: Cross multiply
    6,526x = 9,586 × 9,586
  4. Step 4: Simplify right side
    6,526x = 91,891,396
  5. Step 5: Solve for x
    x = 91,891,396/6,526
  6. Step 6: Final answer
    x = 14,080.81

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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.