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Finding the Third Proportional to 24,313 and 53,729

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Solution

The third proportional to 24,313 and 53,729 is: 118,735.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,313 : 53,729 = 53,729 : x
  2. Step 2: Convert to fraction form
    24,313/53,729 = 53,729/x
  3. Step 3: Cross multiply
    24,313x = 53,729 × 53,729
  4. Step 4: Simplify right side
    24,313x = 2,886,805,441
  5. Step 5: Solve for x
    x = 2,886,805,441/24,313
  6. Step 6: Final answer
    x = 118,735.06

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.