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Finding the Third Proportional to 4,990.04 and 10,914.12

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Solution

The third proportional to 4,990.04 and 10,914.12 is: 23,871.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,990.04 : 10,914.12 = 10,914.12 : x
  2. Step 2: Convert to fraction form
    4,990.04/10,914.12 = 10,914.12/x
  3. Step 3: Cross multiply
    4,990.04x = 10,914.12 × 10,914.12
  4. Step 4: Simplify right side
    4,990.04x = 119,117,953.98
  5. Step 5: Solve for x
    x = 119,117,953.98/4,990.04
  6. Step 6: Final answer
    x = 23,871.13

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.