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Finding the Third Proportional to 4,909.50 and 6,827.63

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Solution

The third proportional to 4,909.50 and 6,827.63 is: 9,495.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,909.50 : 6,827.63 = 6,827.63 : x
  2. Step 2: Convert to fraction form
    4,909.50/6,827.63 = 6,827.63/x
  3. Step 3: Cross multiply
    4,909.50x = 6,827.63 × 6,827.63
  4. Step 4: Simplify right side
    4,909.50x = 46,616,463.14
  5. Step 5: Solve for x
    x = 46,616,463.14/4,909.50
  6. Step 6: Final answer
    x = 9,495.15

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.