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Finding the Third Proportional to 30,062 and 53,563

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Solution

The third proportional to 30,062 and 53,563 is: 95,435.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,062 : 53,563 = 53,563 : x
  2. Step 2: Convert to fraction form
    30,062/53,563 = 53,563/x
  3. Step 3: Cross multiply
    30,062x = 53,563 × 53,563
  4. Step 4: Simplify right side
    30,062x = 2,868,994,969
  5. Step 5: Solve for x
    x = 2,868,994,969/30,062
  6. Step 6: Final answer
    x = 95,435.93

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.