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Finding the Third Proportional to 4,559 and 7,141.50

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Solution

The third proportional to 4,559 and 7,141.50 is: 11,186.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,559 : 7,141.50 = 7,141.50 : x
  2. Step 2: Convert to fraction form
    4,559/7,141.50 = 7,141.50/x
  3. Step 3: Cross multiply
    4,559x = 7,141.50 × 7,141.50
  4. Step 4: Simplify right side
    4,559x = 51,001,022.25
  5. Step 5: Solve for x
    x = 51,001,022.25/4,559
  6. Step 6: Final answer
    x = 11,186.89

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.