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Finding the Third Proportional to 4,497.75 and 9,506.81

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Solution

The third proportional to 4,497.75 and 9,506.81 is: 20,094.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,497.75 : 9,506.81 = 9,506.81 : x
  2. Step 2: Convert to fraction form
    4,497.75/9,506.81 = 9,506.81/x
  3. Step 3: Cross multiply
    4,497.75x = 9,506.81 × 9,506.81
  4. Step 4: Simplify right side
    4,497.75x = 90,379,483.91
  5. Step 5: Solve for x
    x = 90,379,483.91/4,497.75
  6. Step 6: Final answer
    x = 20,094.38

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.