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Finding the Third Proportional to 14,288 and 22,813

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Solution

The third proportional to 14,288 and 22,813 is: 36,424.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,288 : 22,813 = 22,813 : x
  2. Step 2: Convert to fraction form
    14,288/22,813 = 22,813/x
  3. Step 3: Cross multiply
    14,288x = 22,813 × 22,813
  4. Step 4: Simplify right side
    14,288x = 520,432,969
  5. Step 5: Solve for x
    x = 520,432,969/14,288
  6. Step 6: Final answer
    x = 36,424.48

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.