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Finding the Third Proportional to 30,442.13 and 47,766.75

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Solution

The third proportional to 30,442.13 and 47,766.75 is: 74,950.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,442.13 : 47,766.75 = 47,766.75 : x
  2. Step 2: Convert to fraction form
    30,442.13/47,766.75 = 47,766.75/x
  3. Step 3: Cross multiply
    30,442.13x = 47,766.75 × 47,766.75
  4. Step 4: Simplify right side
    30,442.13x = 2,281,662,405.56
  5. Step 5: Solve for x
    x = 2,281,662,405.56/30,442.13
  6. Step 6: Final answer
    x = 74,950.83

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.