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Finding the Third Proportional to 13,527 and 14,823

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Solution

The third proportional to 13,527 and 14,823 is: 16,243.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,527 : 14,823 = 14,823 : x
  2. Step 2: Convert to fraction form
    13,527/14,823 = 14,823/x
  3. Step 3: Cross multiply
    13,527x = 14,823 × 14,823
  4. Step 4: Simplify right side
    13,527x = 219,721,329
  5. Step 5: Solve for x
    x = 219,721,329/13,527
  6. Step 6: Final answer
    x = 16,243.17

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Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.