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Finding the Third Proportional to 4,851.14 and 10,394.16

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Solution

The third proportional to 4,851.14 and 10,394.16 is: 22,270.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,851.14 : 10,394.16 = 10,394.16 : x
  2. Step 2: Convert to fraction form
    4,851.14/10,394.16 = 10,394.16/x
  3. Step 3: Cross multiply
    4,851.14x = 10,394.16 × 10,394.16
  4. Step 4: Simplify right side
    4,851.14x = 108,038,484.15
  5. Step 5: Solve for x
    x = 108,038,484.15/4,851.14
  6. Step 6: Final answer
    x = 22,270.74

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.