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Finding the Third Proportional to 29,140 and 44,558

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Solution

The third proportional to 29,140 and 44,558 is: 68,133.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,140 : 44,558 = 44,558 : x
  2. Step 2: Convert to fraction form
    29,140/44,558 = 44,558/x
  3. Step 3: Cross multiply
    29,140x = 44,558 × 44,558
  4. Step 4: Simplify right side
    29,140x = 1,985,415,364
  5. Step 5: Solve for x
    x = 1,985,415,364/29,140
  6. Step 6: Final answer
    x = 68,133.68

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.