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Finding the Third Proportional to 4,860.95 and 7,100.63

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Solution

The third proportional to 4,860.95 and 7,100.63 is: 10,372.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,860.95 : 7,100.63 = 7,100.63 : x
  2. Step 2: Convert to fraction form
    4,860.95/7,100.63 = 7,100.63/x
  3. Step 3: Cross multiply
    4,860.95x = 7,100.63 × 7,100.63
  4. Step 4: Simplify right side
    4,860.95x = 50,418,958.60
  5. Step 5: Solve for x
    x = 50,418,958.60/4,860.95
  6. Step 6: Final answer
    x = 10,372.25

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.