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Finding the Third Proportional to 23,478 and 51,433

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Solution

The third proportional to 23,478 and 51,433 is: 112,673.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,478 : 51,433 = 51,433 : x
  2. Step 2: Convert to fraction form
    23,478/51,433 = 51,433/x
  3. Step 3: Cross multiply
    23,478x = 51,433 × 51,433
  4. Step 4: Simplify right side
    23,478x = 2,645,353,489
  5. Step 5: Solve for x
    x = 2,645,353,489/23,478
  6. Step 6: Final answer
    x = 112,673.72

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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.