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Finding the Third Proportional to 6,213 and 8,509.50

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Solution

The third proportional to 6,213 and 8,509.50 is: 11,654.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,213 : 8,509.50 = 8,509.50 : x
  2. Step 2: Convert to fraction form
    6,213/8,509.50 = 8,509.50/x
  3. Step 3: Cross multiply
    6,213x = 8,509.50 × 8,509.50
  4. Step 4: Simplify right side
    6,213x = 72,411,590.25
  5. Step 5: Solve for x
    x = 72,411,590.25/6,213
  6. Step 6: Final answer
    x = 11,654.85

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.