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Finding the Third Proportional to 44,374.50 and 96,525

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Solution

The third proportional to 44,374.50 and 96,525 is: 209,964.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,374.50 : 96,525 = 96,525 : x
  2. Step 2: Convert to fraction form
    44,374.50/96,525 = 96,525/x
  3. Step 3: Cross multiply
    44,374.50x = 96,525 × 96,525
  4. Step 4: Simplify right side
    44,374.50x = 9,317,075,625
  5. Step 5: Solve for x
    x = 9,317,075,625/44,374.50
  6. Step 6: Final answer
    x = 209,964.63

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.