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Finding the Third Proportional to 6,875.63 and 10,724.34

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Solution

The third proportional to 6,875.63 and 10,724.34 is: 16,727.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,875.63 : 10,724.34 = 10,724.34 : x
  2. Step 2: Convert to fraction form
    6,875.63/10,724.34 = 10,724.34/x
  3. Step 3: Cross multiply
    6,875.63x = 10,724.34 × 10,724.34
  4. Step 4: Simplify right side
    6,875.63x = 115,011,548.87
  5. Step 5: Solve for x
    x = 115,011,548.87/6,875.63
  6. Step 6: Final answer
    x = 16,727.43

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.