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Finding the Third Proportional to 10,108.50 and 21,321

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Solution

The third proportional to 10,108.50 and 21,321 is: 44,970.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,108.50 : 21,321 = 21,321 : x
  2. Step 2: Convert to fraction form
    10,108.50/21,321 = 21,321/x
  3. Step 3: Cross multiply
    10,108.50x = 21,321 × 21,321
  4. Step 4: Simplify right side
    10,108.50x = 454,585,041
  5. Step 5: Solve for x
    x = 454,585,041/10,108.50
  6. Step 6: Final answer
    x = 44,970.57

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.