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Finding the Third Proportional to 24,383 and 52,465

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Solution

The third proportional to 24,383 and 52,465 is: 112,889.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,383 : 52,465 = 52,465 : x
  2. Step 2: Convert to fraction form
    24,383/52,465 = 52,465/x
  3. Step 3: Cross multiply
    24,383x = 52,465 × 52,465
  4. Step 4: Simplify right side
    24,383x = 2,752,576,225
  5. Step 5: Solve for x
    x = 2,752,576,225/24,383
  6. Step 6: Final answer
    x = 112,889.15

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.