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Finding the Third Proportional to 30,532 and 43,558

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Solution

The third proportional to 30,532 and 43,558 is: 62,141.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,532 : 43,558 = 43,558 : x
  2. Step 2: Convert to fraction form
    30,532/43,558 = 43,558/x
  3. Step 3: Cross multiply
    30,532x = 43,558 × 43,558
  4. Step 4: Simplify right side
    30,532x = 1,897,299,364
  5. Step 5: Solve for x
    x = 1,897,299,364/30,532
  6. Step 6: Final answer
    x = 62,141.34

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.