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Finding the Third Proportional to 10,014.94 and 14,506.03

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Solution

The third proportional to 10,014.94 and 14,506.03 is: 21,011.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,014.94 : 14,506.03 = 14,506.03 : x
  2. Step 2: Convert to fraction form
    10,014.94/14,506.03 = 14,506.03/x
  3. Step 3: Cross multiply
    10,014.94x = 14,506.03 × 14,506.03
  4. Step 4: Simplify right side
    10,014.94x = 210,424,942.63
  5. Step 5: Solve for x
    x = 210,424,942.63/10,014.94
  6. Step 6: Final answer
    x = 21,011.11

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.