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Finding the Third Proportional to 4,761 and 11,191.50

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Solution

The third proportional to 4,761 and 11,191.50 is: 26,307.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,761 : 11,191.50 = 11,191.50 : x
  2. Step 2: Convert to fraction form
    4,761/11,191.50 = 11,191.50/x
  3. Step 3: Cross multiply
    4,761x = 11,191.50 × 11,191.50
  4. Step 4: Simplify right side
    4,761x = 125,249,672.25
  5. Step 5: Solve for x
    x = 125,249,672.25/4,761
  6. Step 6: Final answer
    x = 26,307.43

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.