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Finding the Third Proportional to 28,042.50 and 43,416

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Solution

The third proportional to 28,042.50 and 43,416 is: 67,217.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,042.50 : 43,416 = 43,416 : x
  2. Step 2: Convert to fraction form
    28,042.50/43,416 = 43,416/x
  3. Step 3: Cross multiply
    28,042.50x = 43,416 × 43,416
  4. Step 4: Simplify right side
    28,042.50x = 1,884,949,056
  5. Step 5: Solve for x
    x = 1,884,949,056/28,042.50
  6. Step 6: Final answer
    x = 67,217.58

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.