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Finding the Third Proportional to 13,135 and 28,822

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Solution

The third proportional to 13,135 and 28,822 is: 63,243.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,135 : 28,822 = 28,822 : x
  2. Step 2: Convert to fraction form
    13,135/28,822 = 28,822/x
  3. Step 3: Cross multiply
    13,135x = 28,822 × 28,822
  4. Step 4: Simplify right side
    13,135x = 830,707,684
  5. Step 5: Solve for x
    x = 830,707,684/13,135
  6. Step 6: Final answer
    x = 63,243.83

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.