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Finding the Third Proportional to 4,970.11 and 10,342.69

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Solution

The third proportional to 4,970.11 and 10,342.69 is: 21,522.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,970.11 : 10,342.69 = 10,342.69 : x
  2. Step 2: Convert to fraction form
    4,970.11/10,342.69 = 10,342.69/x
  3. Step 3: Cross multiply
    4,970.11x = 10,342.69 × 10,342.69
  4. Step 4: Simplify right side
    4,970.11x = 106,971,184.72
  5. Step 5: Solve for x
    x = 106,971,184.72/4,970.11
  6. Step 6: Final answer
    x = 21,522.90

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.