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Finding the Third Proportional to 5,087.81 and 8,411.34

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Solution

The third proportional to 5,087.81 and 8,411.34 is: 13,905.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,087.81 : 8,411.34 = 8,411.34 : x
  2. Step 2: Convert to fraction form
    5,087.81/8,411.34 = 8,411.34/x
  3. Step 3: Cross multiply
    5,087.81x = 8,411.34 × 8,411.34
  4. Step 4: Simplify right side
    5,087.81x = 70,750,703.68
  5. Step 5: Solve for x
    x = 70,750,703.68/5,087.81
  6. Step 6: Final answer
    x = 13,905.92

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.