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Finding the Third Proportional to 4,701 and 7,741.50

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Solution

The third proportional to 4,701 and 7,741.50 is: 12,748.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,701 : 7,741.50 = 7,741.50 : x
  2. Step 2: Convert to fraction form
    4,701/7,741.50 = 7,741.50/x
  3. Step 3: Cross multiply
    4,701x = 7,741.50 × 7,741.50
  4. Step 4: Simplify right side
    4,701x = 59,930,822.25
  5. Step 5: Solve for x
    x = 59,930,822.25/4,701
  6. Step 6: Final answer
    x = 12,748.53

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.