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Finding the Third Proportional to 20,821.50 and 44,966.25

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Solution

The third proportional to 20,821.50 and 44,966.25 is: 97,109.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,821.50 : 44,966.25 = 44,966.25 : x
  2. Step 2: Convert to fraction form
    20,821.50/44,966.25 = 44,966.25/x
  3. Step 3: Cross multiply
    20,821.50x = 44,966.25 × 44,966.25
  4. Step 4: Simplify right side
    20,821.50x = 2,021,963,639.06
  5. Step 5: Solve for x
    x = 2,021,963,639.06/20,821.50
  6. Step 6: Final answer
    x = 97,109.41

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.