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Finding the Third Proportional to 10,087.03 and 23,440.64

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Solution

The third proportional to 10,087.03 and 23,440.64 is: 54,472.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,087.03 : 23,440.64 = 23,440.64 : x
  2. Step 2: Convert to fraction form
    10,087.03/23,440.64 = 23,440.64/x
  3. Step 3: Cross multiply
    10,087.03x = 23,440.64 × 23,440.64
  4. Step 4: Simplify right side
    10,087.03x = 549,463,632.91
  5. Step 5: Solve for x
    x = 549,463,632.91/10,087.03
  6. Step 6: Final answer
    x = 54,472.28

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.