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Finding the Third Proportional to 5,015.81 and 6,710.34

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Solution

The third proportional to 5,015.81 and 6,710.34 is: 8,977.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,015.81 : 6,710.34 = 6,710.34 : x
  2. Step 2: Convert to fraction form
    5,015.81/6,710.34 = 6,710.34/x
  3. Step 3: Cross multiply
    5,015.81x = 6,710.34 × 6,710.34
  4. Step 4: Simplify right side
    5,015.81x = 45,028,713.24
  5. Step 5: Solve for x
    x = 45,028,713.24/5,015.81
  6. Step 6: Final answer
    x = 8,977.35

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.