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Finding the Third Proportional to 23,537 and 48,991

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Solution

The third proportional to 23,537 and 48,991 is: 101,972.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,537 : 48,991 = 48,991 : x
  2. Step 2: Convert to fraction form
    23,537/48,991 = 48,991/x
  3. Step 3: Cross multiply
    23,537x = 48,991 × 48,991
  4. Step 4: Simplify right side
    23,537x = 2,400,118,081
  5. Step 5: Solve for x
    x = 2,400,118,081/23,537
  6. Step 6: Final answer
    x = 101,972.13

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.