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Finding the Third Proportional to 24,680 and 53,008

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Solution

The third proportional to 24,680 and 53,008 is: 113,851.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,680 : 53,008 = 53,008 : x
  2. Step 2: Convert to fraction form
    24,680/53,008 = 53,008/x
  3. Step 3: Cross multiply
    24,680x = 53,008 × 53,008
  4. Step 4: Simplify right side
    24,680x = 2,809,848,064
  5. Step 5: Solve for x
    x = 2,809,848,064/24,680
  6. Step 6: Final answer
    x = 113,851.22

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.