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Finding the Third Proportional to 10,011 and 14,420.50

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Solution

The third proportional to 10,011 and 14,420.50 is: 20,772.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,011 : 14,420.50 = 14,420.50 : x
  2. Step 2: Convert to fraction form
    10,011/14,420.50 = 14,420.50/x
  3. Step 3: Cross multiply
    10,011x = 14,420.50 × 14,420.50
  4. Step 4: Simplify right side
    10,011x = 207,950,820.25
  5. Step 5: Solve for x
    x = 207,950,820.25/10,011
  6. Step 6: Final answer
    x = 20,772.23

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.