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Finding the Third Proportional to 24,184 and 52,688

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Solution

The third proportional to 24,184 and 52,688 is: 114,787.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,184 : 52,688 = 52,688 : x
  2. Step 2: Convert to fraction form
    24,184/52,688 = 52,688/x
  3. Step 3: Cross multiply
    24,184x = 52,688 × 52,688
  4. Step 4: Simplify right side
    24,184x = 2,776,025,344
  5. Step 5: Solve for x
    x = 2,776,025,344/24,184
  6. Step 6: Final answer
    x = 114,787.68

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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.