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Finding the Third Proportional to 47,532 and 66,450

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Solution

The third proportional to 47,532 and 66,450 is: 92,897.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,532 : 66,450 = 66,450 : x
  2. Step 2: Convert to fraction form
    47,532/66,450 = 66,450/x
  3. Step 3: Cross multiply
    47,532x = 66,450 × 66,450
  4. Step 4: Simplify right side
    47,532x = 4,415,602,500
  5. Step 5: Solve for x
    x = 4,415,602,500/47,532
  6. Step 6: Final answer
    x = 92,897.47

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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.