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Finding the Third Proportional to 4,159.13 and 9,243

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Solution

The third proportional to 4,159.13 and 9,243 is: 20,541.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,159.13 : 9,243 = 9,243 : x
  2. Step 2: Convert to fraction form
    4,159.13/9,243 = 9,243/x
  3. Step 3: Cross multiply
    4,159.13x = 9,243 × 9,243
  4. Step 4: Simplify right side
    4,159.13x = 85,433,049
  5. Step 5: Solve for x
    x = 85,433,049/4,159.13
  6. Step 6: Final answer
    x = 20,541.11

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.