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Finding the Third Proportional to 5,688.75 and 8,612.63

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Solution

The third proportional to 5,688.75 and 8,612.63 is: 13,039.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,688.75 : 8,612.63 = 8,612.63 : x
  2. Step 2: Convert to fraction form
    5,688.75/8,612.63 = 8,612.63/x
  3. Step 3: Cross multiply
    5,688.75x = 8,612.63 × 8,612.63
  4. Step 4: Simplify right side
    5,688.75x = 74,177,309.39
  5. Step 5: Solve for x
    x = 74,177,309.39/5,688.75
  6. Step 6: Final answer
    x = 13,039.30

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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.