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Finding the Third Proportional to 23,537 and 51,361

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Solution

The third proportional to 23,537 and 51,361 is: 112,076.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,537 : 51,361 = 51,361 : x
  2. Step 2: Convert to fraction form
    23,537/51,361 = 51,361/x
  3. Step 3: Cross multiply
    23,537x = 51,361 × 51,361
  4. Step 4: Simplify right side
    23,537x = 2,637,952,321
  5. Step 5: Solve for x
    x = 2,637,952,321/23,537
  6. Step 6: Final answer
    x = 112,076.83

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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.