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Finding the Third Proportional to 10,006.03 and 11,423.53

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Solution

The third proportional to 10,006.03 and 11,423.53 is: 13,041.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,006.03 : 11,423.53 = 11,423.53 : x
  2. Step 2: Convert to fraction form
    10,006.03/11,423.53 = 11,423.53/x
  3. Step 3: Cross multiply
    10,006.03x = 11,423.53 × 11,423.53
  4. Step 4: Simplify right side
    10,006.03x = 130,497,066.22
  5. Step 5: Solve for x
    x = 130,497,066.22/10,006.03
  6. Step 6: Final answer
    x = 13,041.84

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Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.