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Finding the Third Proportional to 23,537 and 51,813

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Solution

The third proportional to 23,537 and 51,813 is: 114,058.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,537 : 51,813 = 51,813 : x
  2. Step 2: Convert to fraction form
    23,537/51,813 = 51,813/x
  3. Step 3: Cross multiply
    23,537x = 51,813 × 51,813
  4. Step 4: Simplify right side
    23,537x = 2,684,586,969
  5. Step 5: Solve for x
    x = 2,684,586,969/23,537
  6. Step 6: Final answer
    x = 114,058.16

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.