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Finding the Third Proportional to 4,325.63 and 9,497.81

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Solution

The third proportional to 4,325.63 and 9,497.81 is: 20,854.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,325.63 : 9,497.81 = 9,497.81 : x
  2. Step 2: Convert to fraction form
    4,325.63/9,497.81 = 9,497.81/x
  3. Step 3: Cross multiply
    4,325.63x = 9,497.81 × 9,497.81
  4. Step 4: Simplify right side
    4,325.63x = 90,208,442.29
  5. Step 5: Solve for x
    x = 90,208,442.29/4,325.63
  6. Step 6: Final answer
    x = 20,854.43

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.