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Finding the Third Proportional to 7,817 and 14,527

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Solution

The third proportional to 7,817 and 14,527 is: 26,996.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,817 : 14,527 = 14,527 : x
  2. Step 2: Convert to fraction form
    7,817/14,527 = 14,527/x
  3. Step 3: Cross multiply
    7,817x = 14,527 × 14,527
  4. Step 4: Simplify right side
    7,817x = 211,033,729
  5. Step 5: Solve for x
    x = 211,033,729/7,817
  6. Step 6: Final answer
    x = 26,996.77

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.