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Finding the Third Proportional to 4,713.93 and 6,989.34

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Solution

The third proportional to 4,713.93 and 6,989.34 is: 10,363.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,713.93 : 6,989.34 = 6,989.34 : x
  2. Step 2: Convert to fraction form
    4,713.93/6,989.34 = 6,989.34/x
  3. Step 3: Cross multiply
    4,713.93x = 6,989.34 × 6,989.34
  4. Step 4: Simplify right side
    4,713.93x = 48,850,926.06
  5. Step 5: Solve for x
    x = 48,850,926.06/4,713.93
  6. Step 6: Final answer
    x = 10,363.11

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.