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Finding the Third Proportional to 4,770.14 and 6,987.52

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Solution

The third proportional to 4,770.14 and 6,987.52 is: 10,235.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,770.14 : 6,987.52 = 6,987.52 : x
  2. Step 2: Convert to fraction form
    4,770.14/6,987.52 = 6,987.52/x
  3. Step 3: Cross multiply
    4,770.14x = 6,987.52 × 6,987.52
  4. Step 4: Simplify right side
    4,770.14x = 48,825,374.61
  5. Step 5: Solve for x
    x = 48,825,374.61/4,770.14
  6. Step 6: Final answer
    x = 10,235.63

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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.