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Finding the Third Proportional to 10,525.50 and 23,031

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Solution

The third proportional to 10,525.50 and 23,031 is: 50,394.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,525.50 : 23,031 = 23,031 : x
  2. Step 2: Convert to fraction form
    10,525.50/23,031 = 23,031/x
  3. Step 3: Cross multiply
    10,525.50x = 23,031 × 23,031
  4. Step 4: Simplify right side
    10,525.50x = 530,426,961
  5. Step 5: Solve for x
    x = 530,426,961/10,525.50
  6. Step 6: Final answer
    x = 50,394.47

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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.