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Finding the Third Proportional to 34,045 and 47,662

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Solution

The third proportional to 34,045 and 47,662 is: 66,725.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,045 : 47,662 = 47,662 : x
  2. Step 2: Convert to fraction form
    34,045/47,662 = 47,662/x
  3. Step 3: Cross multiply
    34,045x = 47,662 × 47,662
  4. Step 4: Simplify right side
    34,045x = 2,271,666,244
  5. Step 5: Solve for x
    x = 2,271,666,244/34,045
  6. Step 6: Final answer
    x = 66,725.40

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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.