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Finding the Third Proportional to 5,865 and 8,575.50

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Solution

The third proportional to 5,865 and 8,575.50 is: 12,538.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,865 : 8,575.50 = 8,575.50 : x
  2. Step 2: Convert to fraction form
    5,865/8,575.50 = 8,575.50/x
  3. Step 3: Cross multiply
    5,865x = 8,575.50 × 8,575.50
  4. Step 4: Simplify right side
    5,865x = 73,539,200.25
  5. Step 5: Solve for x
    x = 73,539,200.25/5,865
  6. Step 6: Final answer
    x = 12,538.65

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.