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Finding the Third Proportional to 23,998 and 52,367

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Solution

The third proportional to 23,998 and 52,367 is: 114,272.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,998 : 52,367 = 52,367 : x
  2. Step 2: Convert to fraction form
    23,998/52,367 = 52,367/x
  3. Step 3: Cross multiply
    23,998x = 52,367 × 52,367
  4. Step 4: Simplify right side
    23,998x = 2,742,302,689
  5. Step 5: Solve for x
    x = 2,742,302,689/23,998
  6. Step 6: Final answer
    x = 114,272.13

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1.5x scale

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.