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Finding the Third Proportional to 23,068 and 50,537

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Solution

The third proportional to 23,068 and 50,537 is: 110,715.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,068 : 50,537 = 50,537 : x
  2. Step 2: Convert to fraction form
    23,068/50,537 = 50,537/x
  3. Step 3: Cross multiply
    23,068x = 50,537 × 50,537
  4. Step 4: Simplify right side
    23,068x = 2,553,988,369
  5. Step 5: Solve for x
    x = 2,553,988,369/23,068
  6. Step 6: Final answer
    x = 110,715.64

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.