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Finding the Third Proportional to 47,518 and 66,433

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Solution

The third proportional to 47,518 and 66,433 is: 92,877.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,518 : 66,433 = 66,433 : x
  2. Step 2: Convert to fraction form
    47,518/66,433 = 66,433/x
  3. Step 3: Cross multiply
    47,518x = 66,433 × 66,433
  4. Step 4: Simplify right side
    47,518x = 4,413,343,489
  5. Step 5: Solve for x
    x = 4,413,343,489/47,518
  6. Step 6: Final answer
    x = 92,877.30

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.