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Finding the Third Proportional to 4,541 and 9,912.50

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Solution

The third proportional to 4,541 and 9,912.50 is: 21,637.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,541 : 9,912.50 = 9,912.50 : x
  2. Step 2: Convert to fraction form
    4,541/9,912.50 = 9,912.50/x
  3. Step 3: Cross multiply
    4,541x = 9,912.50 × 9,912.50
  4. Step 4: Simplify right side
    4,541x = 98,257,656.25
  5. Step 5: Solve for x
    x = 98,257,656.25/4,541
  6. Step 6: Final answer
    x = 21,637.89

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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.