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Finding the Third Proportional to 5,705.25 and 8,534.25

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Solution

The third proportional to 5,705.25 and 8,534.25 is: 12,766.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,705.25 : 8,534.25 = 8,534.25 : x
  2. Step 2: Convert to fraction form
    5,705.25/8,534.25 = 8,534.25/x
  3. Step 3: Cross multiply
    5,705.25x = 8,534.25 × 8,534.25
  4. Step 4: Simplify right side
    5,705.25x = 72,833,423.06
  5. Step 5: Solve for x
    x = 72,833,423.06/5,705.25
  6. Step 6: Final answer
    x = 12,766.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.