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Finding the Third Proportional to 30,444 and 47,826

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Solution

The third proportional to 30,444 and 47,826 is: 75,132.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,444 : 47,826 = 47,826 : x
  2. Step 2: Convert to fraction form
    30,444/47,826 = 47,826/x
  3. Step 3: Cross multiply
    30,444x = 47,826 × 47,826
  4. Step 4: Simplify right side
    30,444x = 2,287,326,276
  5. Step 5: Solve for x
    x = 2,287,326,276/30,444
  6. Step 6: Final answer
    x = 75,132.25

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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.