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Finding the Third Proportional to 22,816 and 34,129

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Solution

The third proportional to 22,816 and 34,129 is: 51,051.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,816 : 34,129 = 34,129 : x
  2. Step 2: Convert to fraction form
    22,816/34,129 = 34,129/x
  3. Step 3: Cross multiply
    22,816x = 34,129 × 34,129
  4. Step 4: Simplify right side
    22,816x = 1,164,788,641
  5. Step 5: Solve for x
    x = 1,164,788,641/22,816
  6. Step 6: Final answer
    x = 51,051.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.