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Finding the Third Proportional to 24,546 and 53,007

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Solution

The third proportional to 24,546 and 53,007 is: 114,468.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,546 : 53,007 = 53,007 : x
  2. Step 2: Convert to fraction form
    24,546/53,007 = 53,007/x
  3. Step 3: Cross multiply
    24,546x = 53,007 × 53,007
  4. Step 4: Simplify right side
    24,546x = 2,809,742,049
  5. Step 5: Solve for x
    x = 2,809,742,049/24,546
  6. Step 6: Final answer
    x = 114,468.43

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.