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Finding the Third Proportional to 24,672 and 53,724

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Solution

The third proportional to 24,672 and 53,724 is: 116,985.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,672 : 53,724 = 53,724 : x
  2. Step 2: Convert to fraction form
    24,672/53,724 = 53,724/x
  3. Step 3: Cross multiply
    24,672x = 53,724 × 53,724
  4. Step 4: Simplify right side
    24,672x = 2,886,268,176
  5. Step 5: Solve for x
    x = 2,886,268,176/24,672
  6. Step 6: Final answer
    x = 116,985.58

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.