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Finding the Third Proportional to 10,466.50 and 22,901

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Solution

The third proportional to 10,466.50 and 22,901 is: 50,108.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,466.50 : 22,901 = 22,901 : x
  2. Step 2: Convert to fraction form
    10,466.50/22,901 = 22,901/x
  3. Step 3: Cross multiply
    10,466.50x = 22,901 × 22,901
  4. Step 4: Simplify right side
    10,466.50x = 524,455,801
  5. Step 5: Solve for x
    x = 524,455,801/10,466.50
  6. Step 6: Final answer
    x = 50,108.04

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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.