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Finding the Third Proportional to 5,431.88 and 7,748.06

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Solution

The third proportional to 5,431.88 and 7,748.06 is: 11,051.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,431.88 : 7,748.06 = 7,748.06 : x
  2. Step 2: Convert to fraction form
    5,431.88/7,748.06 = 7,748.06/x
  3. Step 3: Cross multiply
    5,431.88x = 7,748.06 × 7,748.06
  4. Step 4: Simplify right side
    5,431.88x = 60,032,472.50
  5. Step 5: Solve for x
    x = 60,032,472.50/5,431.88
  6. Step 6: Final answer
    x = 11,051.89

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.