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Finding the Third Proportional to 5,712.50 and 8,640.75

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Solution

The third proportional to 5,712.50 and 8,640.75 is: 13,070.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,712.50 : 8,640.75 = 8,640.75 : x
  2. Step 2: Convert to fraction form
    5,712.50/8,640.75 = 8,640.75/x
  3. Step 3: Cross multiply
    5,712.50x = 8,640.75 × 8,640.75
  4. Step 4: Simplify right side
    5,712.50x = 74,662,560.56
  5. Step 5: Solve for x
    x = 74,662,560.56/5,712.50
  6. Step 6: Final answer
    x = 13,070.03

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.