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Finding the Third Proportional to 23,000 and 49,522

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Solution

The third proportional to 23,000 and 49,522 is: 106,627.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,000 : 49,522 = 49,522 : x
  2. Step 2: Convert to fraction form
    23,000/49,522 = 49,522/x
  3. Step 3: Cross multiply
    23,000x = 49,522 × 49,522
  4. Step 4: Simplify right side
    23,000x = 2,452,428,484
  5. Step 5: Solve for x
    x = 2,452,428,484/23,000
  6. Step 6: Final answer
    x = 106,627.33

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1.5x scale

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.