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Finding the Third Proportional to 9,954.88 and 15,537.25

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Solution

The third proportional to 9,954.88 and 15,537.25 is: 24,250.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,954.88 : 15,537.25 = 15,537.25 : x
  2. Step 2: Convert to fraction form
    9,954.88/15,537.25 = 15,537.25/x
  3. Step 3: Cross multiply
    9,954.88x = 15,537.25 × 15,537.25
  4. Step 4: Simplify right side
    9,954.88x = 241,406,137.56
  5. Step 5: Solve for x
    x = 241,406,137.56/9,954.88
  6. Step 6: Final answer
    x = 24,250.04

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.