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Finding the Third Proportional to 32,284 and 43,300

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Solution

The third proportional to 32,284 and 43,300 is: 58,074.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,284 : 43,300 = 43,300 : x
  2. Step 2: Convert to fraction form
    32,284/43,300 = 43,300/x
  3. Step 3: Cross multiply
    32,284x = 43,300 × 43,300
  4. Step 4: Simplify right side
    32,284x = 1,874,890,000
  5. Step 5: Solve for x
    x = 1,874,890,000/32,284
  6. Step 6: Final answer
    x = 58,074.90

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.