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Finding the Third Proportional to 28,917 and 40,756.50

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Solution

The third proportional to 28,917 and 40,756.50 is: 57,443.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,917 : 40,756.50 = 40,756.50 : x
  2. Step 2: Convert to fraction form
    28,917/40,756.50 = 40,756.50/x
  3. Step 3: Cross multiply
    28,917x = 40,756.50 × 40,756.50
  4. Step 4: Simplify right side
    28,917x = 1,661,092,292.25
  5. Step 5: Solve for x
    x = 1,661,092,292.25/28,917
  6. Step 6: Final answer
    x = 57,443.45

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.