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Finding the Third Proportional to 24,510 and 53,172

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Solution

The third proportional to 24,510 and 53,172 is: 115,351.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,510 : 53,172 = 53,172 : x
  2. Step 2: Convert to fraction form
    24,510/53,172 = 53,172/x
  3. Step 3: Cross multiply
    24,510x = 53,172 × 53,172
  4. Step 4: Simplify right side
    24,510x = 2,827,261,584
  5. Step 5: Solve for x
    x = 2,827,261,584/24,510
  6. Step 6: Final answer
    x = 115,351.35

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.