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Finding the Third Proportional to 24,707.25 and 54,144

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Solution

The third proportional to 24,707.25 and 54,144 is: 118,652.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,707.25 : 54,144 = 54,144 : x
  2. Step 2: Convert to fraction form
    24,707.25/54,144 = 54,144/x
  3. Step 3: Cross multiply
    24,707.25x = 54,144 × 54,144
  4. Step 4: Simplify right side
    24,707.25x = 2,931,572,736
  5. Step 5: Solve for x
    x = 2,931,572,736/24,707.25
  6. Step 6: Final answer
    x = 118,652.33

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.