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Finding the Third Proportional to 47,577 and 66,829.50

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Solution

The third proportional to 47,577 and 66,829.50 is: 93,872.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,577 : 66,829.50 = 66,829.50 : x
  2. Step 2: Convert to fraction form
    47,577/66,829.50 = 66,829.50/x
  3. Step 3: Cross multiply
    47,577x = 66,829.50 × 66,829.50
  4. Step 4: Simplify right side
    47,577x = 4,466,182,070.25
  5. Step 5: Solve for x
    x = 4,466,182,070.25/47,577
  6. Step 6: Final answer
    x = 93,872.71

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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.