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Finding the Third Proportional to 30,404 and 48,563

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Solution

The third proportional to 30,404 and 48,563 is: 77,567.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,404 : 48,563 = 48,563 : x
  2. Step 2: Convert to fraction form
    30,404/48,563 = 48,563/x
  3. Step 3: Cross multiply
    30,404x = 48,563 × 48,563
  4. Step 4: Simplify right side
    30,404x = 2,358,364,969
  5. Step 5: Solve for x
    x = 2,358,364,969/30,404
  6. Step 6: Final answer
    x = 77,567.59

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.