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Finding the Third Proportional to 4,463.25 and 8,521.50

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Solution

The third proportional to 4,463.25 and 8,521.50 is: 16,269.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,463.25 : 8,521.50 = 8,521.50 : x
  2. Step 2: Convert to fraction form
    4,463.25/8,521.50 = 8,521.50/x
  3. Step 3: Cross multiply
    4,463.25x = 8,521.50 × 8,521.50
  4. Step 4: Simplify right side
    4,463.25x = 72,615,962.25
  5. Step 5: Solve for x
    x = 72,615,962.25/4,463.25
  6. Step 6: Final answer
    x = 16,269.75

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Why These Related Problems?

These problems maintain the same ratio (1.91) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.