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Finding the Third Proportional to 24,276 and 52,944

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Solution

The third proportional to 24,276 and 52,944 is: 115,466.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,276 : 52,944 = 52,944 : x
  2. Step 2: Convert to fraction form
    24,276/52,944 = 52,944/x
  3. Step 3: Cross multiply
    24,276x = 52,944 × 52,944
  4. Step 4: Simplify right side
    24,276x = 2,803,067,136
  5. Step 5: Solve for x
    x = 2,803,067,136/24,276
  6. Step 6: Final answer
    x = 115,466.60

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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.