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Finding the Third Proportional to 24,460 and 53,216

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Solution

The third proportional to 24,460 and 53,216 is: 115,778.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,460 : 53,216 = 53,216 : x
  2. Step 2: Convert to fraction form
    24,460/53,216 = 53,216/x
  3. Step 3: Cross multiply
    24,460x = 53,216 × 53,216
  4. Step 4: Simplify right side
    24,460x = 2,831,942,656
  5. Step 5: Solve for x
    x = 2,831,942,656/24,460
  6. Step 6: Final answer
    x = 115,778.52

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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.